Mich. Comp. Laws § 397.35

Sec. 5. (1) If any municipality within a county has not established a public library but is contracting for public library service with the governing body of a legally established public library, it is entitled to receive its per capita share of the penal fine moneys the same as if it had a legally established public library. The moneys shall be used for the provision of public library service for all residents of the municipality. (2) If any municipality within a county is supporting more than 1 public library, the penal fines shall be allocated to each public library in ratio to the tax support provided by the municipality to the respective public libraries.