TeamIndia chose to do some experiments in the next two matches as they have already won the series.
Jadhav and Manish Pandey kept the scoreboard ticking with a 61-run partnership, but once Jadhav was dismissed for 67, which came off 69 balls and included seven boundaries and a six, India began to lose wickets at regular intervals.
Chasing 335 for victory, Rohit Sharma and Ajinkya Rahane got India off to the best possible start with a 106 run opening partnership with both of them scoring half centuries.
David Warner and Aaron Finch helped restore some of that pride with some magnificent hitting at the top of the order, the former chalking up a superb 124 in his 100th ODI to set up the 21-run victory.
Australia, whose previous ODI victory was over Pakistan in Adelaide on January 26, will look to end the series with another positive result when the teams meet in Nagpur on October 1.
Steve Smith: "We are going to have a bat".
Meanwhile, Rohit Sharma is also on the verge of reaching a unique fifty.
Kohli said the team had no regrets about resting the bulk of their front-line bowling attack with Bhuvneshwar Kumar, Jasprit Bumrah and Kuldeep Yadav. They added 78 runs for the fourth wicket at just over run a ball and brought the Men in Blue back in the game.
Watch the fourth ODI between India and Australia, live from 8.50am on Thursday on Sky Sports Cricket (channel 404). That move didn't bear the intended result as the hosts conceded 334 runs - highest of the series so far.
Australia: Aaron Finch, David Warner, Steven Smith (captain), Kane Richardson, Glenn Maxwell, Nathan Coulter-Nile, Pat Cummins, Peter Handscomb (wicket-keeper), Travis Head, Marcus Stoinis, Matthew Wade, James Faulkner, Adam Zampa, Hilton Cartwright.
Smith was all praise for his vice-captain Warner, who hammered 12 fours and four sixes.
Finch after his 127-run innings at Indore, fell six runs short of his second consecutive century as he miscued a slow delivery by Umesh and was caught at mid-on by Hardik Pandya on 94 (96 balls, 4x10, 6x3). "But we only lost by 20-odd runs in the end", said the Indian skipper.