Final answer:
The patient would swallow a barium sulfate suspension for the upper gastrointestinal series examination, which helps diagnose conditions like acid reflux disease, Crohn's disease, and ulcers.
Step-by-step explanation:
The fluoroscopic examination that would have the patient swallow a barium sulfate suspension is the upper gastrointestinal series (a). In this procedure, the patient drinks a liquid called barium sulfate, which coats the lining of the digestive tract. This allows for greater visual detail on X-ray images, helping to diagnose various conditions like acid reflux disease, Crohn's disease, and ulcers.