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.
4, 13, ['F', 'b', '6727', '2073', '5473', 'I', '9279', '4757', 'r', 'f', '9403', '4909', '2081']