Final answer:
The dorsal column system and the spinothalamic tract are responsible for carrying sensations of fine touch, vibration, proprioception, and pressure.
Step-by-step explanation:
The tracts responsible for carrying sensations of fine touch, vibration, proprioception, and pressure are the dorsal column system and the spinothalamic tract. The dorsal column system primarily carries information about touch and proprioception, while the spinothalamic tract is responsible for pain and temperature sensation. The trigeminal nerve also adds similar sensation information from the head to these pathways.