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.

6, 8, ['s', 'X', 'a', 'L', 'N', 'J', '1893', '4909', '349', '7679', '4479', 'i', '7345']
6802

5, 6, ['3087', '7917', 'M', '4557', '4409', 'N', '1843', 's', '1883', 'L', '315', '9983', 'n', 'H', 't', '4419']
4409

1, 5, ['5917', 'L', '3269', '4267', '5839']

19292