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, 15, ['9251', '3817', '7945', '8873', 'P', '829', '8951', '5379', '9785', 'i', '8217', '2295', 'j', '1179', '5129']