It was Australia's lowest total against Bangladesh in the shortest format, and Bangladesh's first victory against the Aussies in five encounters.
India, who have already sealed a semi-final berth, ended the round-robin stage of the five-nation tournament at the top of the standings with 10 points, ahead of Korea (6), Japan (5), Pakistan (2) and hosts Bangladesh (0).
Bangladesh secured a series win against Australia for the first time in any format after a 10-run victory in Friday's Twenty20 international in Dhaka gave them an unassailable 3-0 lead in the five-match series.
Shakib's anger got the better of him during his team Mohammedan Sporting's game against Abahani Limited
Tulsidas Balaram, who passed into the ages last week, was a member of the Indian football team which reached the semis at the Olympics and won an Asian Games gold medal.
India-based Apollo Hospitals on Wednesday opened its services in Bangladesh, becoming the first private multi-purpose facility in the country that would pave the way for better treatment of the people.
"It is important that development agencies be able to continue their work unhindered by fear or violence, the bank said.
World Championship triple silver medallist Jyothi Surekha Vennam overcame the mighty Korean challenge twice, including in a gripping but controversial final, to win the women's compound individual gold at the Asian Archery Championships in Dhaka on Thursday.
India had earlier registered comfortable victories over Sri Lanka and Bhutan.