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.
7, 9, ['c', 'n', '8945', '337', 'n', 'x', '6165', 'e', 'f', '8517', '4617', '6373', 'v', '6783']