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KKR jumped to second spot in the standings with 10 points from seven games, while RCB remain at the bottom with just two points from eight outings.
Chasing a target of 162, Salt added 120 with captain Shreyas Iyer for the unbroken thrid wicket as KKR romped home in 15.4 overs.
The South African players came out of the semifinal defeat with their heads held high.
Left-arm spinner Ravindra Jadeja picked up 5/33 as the Proteas were bowled out for 83 in 27.1 overs.
The Dutch seamers varied their pace and extracted bounce from a slow wicket at Kolkata's Eden Gardens to turn up the heat on Bangladesh.
Gujarat Titans and Chennai Super Kings will meet in the first Qualifier while LSG will play the Eliminator against the fourth-placed side.
Chasing a stiff target of 236, KKR could manage only 186/8. Ajinkya Rahane took Eden Gardens by storm with a sensational 29-ball unbeaten 71 while Shivam Dube muscled his way to another scintillating half-century in CSK's ' imposing 235/4.
KKR coach Chandrakant Pandit said it was very difficult for the rival batters to pick the 19-year-old leggie.
KKR found themselves tottering at 89/5 before Thakur led a superb recovery with his 29-ball 68 to power his team to 204/7 after RCB opted to bowl.
Rahul scored an unbeaten 64 as India defeated the visitors by 4 wickets.