Notwithstanding the provisions of Section 9803, the formation of an improvement district within the primary management area may be proposed and the petition therefor may be signed by a majority of the members of the board. Thereafter, proceedings with regard to the formation of the proposed improvement district shall be in accordance with Sections 9804 through 9821, inclusive. However, wherever “petition” is used in those provisions, it shall be deemed to refer to the petition of the majority of the members of the board; and, notwithstanding Section 9817, the petition shall not be required to be dismissed unless more than one-half of the holders of title to the real property within the proposed improvement district object to its formation or the levy of the proposed assessment.