Moving to flash forum.
There is no more Flash Player for Android (which runs on your Kindle) and there won't be another. Android is no longer comaptible with Flash Player. Playing Flash content is very processor consumptive and it drains your battery, also shortening the life of it. Android (Google) recommends using either "Dolphin" or "Puffin" as your browser if you need to view Flash content with a mobile device running Android. They're both free in the GooglePlay store. These browsers use "server side" rendering to reduce the load on your device.