What was the highest number of students in Fall 09 in the state that had 3821 in Fall 06?
CREATE TABLE table_19824 (
    "States" text,
    "Fall 05" real,
    "Fall 06" real,
    "Fall 07" real,
    "Fall 08" real,
    "Fall 09" real
)
SELECT MAX("Fall 09") FROM table_19824 WHERE "Fall 06" = '3821'
Below are sql tables schemas paired with instruction that describes a task. Using valid SQLite, write a response that appropriately completes the request for the provided tables. ### Instruction: What was the highest number of students in Fall 09 in the state that had 3821 in Fall 06? ### Input: CREATE TABLE table_19824 (
    "States" text,
    "Fall 05" real,
    "Fall 06" real,
    "Fall 07" real,
    "Fall 08" real,
    "Fall 09" real
) ### Response: SELECT MAX("Fall 09") FROM table_19824 WHERE "Fall 06" = '3821'