In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
1, 9, ['b', '5307', 'i', 't', '8427', 'f', '6265', '3509', '4315', 'D', '1469', '7803', 'f', '189', 'Z', '2293', 'W', '2919', 'r', '5545']