CREATE TABLE table_7743 ("Province" TEXT, "Capital" TEXT, "Area  ( km\\u00b2 ) " FLOAT, "Population census 1999" FLOAT, "Population per km\\u00b2  ( 2009 ) " FLOAT, "Population census 2009" FLOAT)

What is the highest Population per km (2009) that is in western province, with an Area (km ) larger than 5,475?
SELECT MAX("Population per km\u00b2 (2009)") FROM table_7743 WHERE "Province" = 'western province' AND "Area (km\u00b2)" > '5,475'
SELECT MAX("Population per km\u00b2 (2009)") FROM "table_7743" WHERE "Area (km\u00b2)" > '5,475' AND "Province" = 'western province'