The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost 13.95 each, how much money did the theater make from the sale of children's tickets if they cost 2/3 the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places.
2/3 of the tickets sold were adult tickets, so there were 2/3 * 345 = <<2/3*345=230>>230 adult tickets sold.
The adult tickets cost 13.95 each, so the theater made 230 adult tickets * $13.95/ticket = $<<230*13.95=3208.5>>3208.50 from adult ticket sales.
Each child's ticket cost 2/3 * $13.95 = $<<2/3*13.95=9.30>>9.30.
Thus, the theater sold 345 tickets - 230 adult tickets = <<345-230=115>>115 child tickets.
The theater made 115 child tickets * $9.30/ticket = $<<115*9.30=1069.50>>1069.50 from child ticket sales.
Thus, the theater made a total of $3208.50 + $1069.50 = $<<3208.5+1069.5=4278>>4278 from the sale of children's tickets. Answer: \boxed{4278}.