Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_7744 ( "Province" text, "Capital" text, "Area (km\u00b2)" real, "Population census 1999" real, "Population per km\u00b2 (2009)" real, "Population census 2009" real )

### Question ###
What is the lowest Population per km (2009) that has a Solomon Islands province, with an Area (km ) smaller than 28,400?

### Accurate SQL ###

SELECT MIN("Population per km\u00b2 (2009)") FROM table_7744 WHERE "Province" = 'solomon islands' AND "Area (km\u00b2)" < '28,400'