In a culinary venture named "Flavors Unleashed", five partners came together as a group. The partners are named Grace, Henry, Isabella, Jack, and Lily. Henry made the investment by contributing \$12,000 to get the restaurant up and running. Impressed by Henry's dedication, Grace decided to invest 25% more than Henry's investment. Isabella, a renowned chef, joined the partnership by investing 70% of the combined investment of Henry and Grace. Motivated by Isabella's culinary expertise, Jack invested \$2,400 less than Isabella's investment. Lily, a passionate foodie, became a partner after 6 months and invested an amount equal to the average of the investments made by Grace, Isabella, and Jack. The restaurant achieved a total profit of $96,800 over a period of 10 months. What is the approximate average profit earned by all the partners except Lily?