Compare the digits from left to right.

All numbers have 5 digits. Compare the ten-thousands: all are 6.
Compare the thousands: 3, 7, 3, 7.
• The numbers with thousands digit 3 are smaller. Among 63742 and 63427: thousands both 3, hundreds: 4 < 7, so 63427 is smallest, then 63742.
• Among 67342 and 67234: thousands both 7, hundreds: 2 < 3, so 67234 comes next, then 67342.

Final Answer: 63427, 63742, 67234, 67342