Auto Insurance Claims: 3 Car Pile Up, car pile, safe distance

Question
I was driving down the road and the driver in front of me looked like they were going to slow down normally as they approached the explorer in front of them. Then the driver in front of me, an accord slammed on the brakes and hit the explorer. Then as a cause of her looking like she was slowing down normally I hit her. This left a few scratches on the accords bumper but messed mine up. Who's at fault? And thanks for your help.

Answer
You are at fault.  Nothing that you've said about the other driver mitigates that.  Following too close is following too close.
We all have a responsibility to maintain a safe distance from the vehicle in front of us at all times and if we do that, we won't rear end other cars.
Sorry and good luck.