There are two carotid arteries that feed blood to the brain, one on each side of the neck and head. One patient's carotid arteries are each \(11.2 \mathrm{~cm}\) long and have an inside diameter of \(5.2 \mathrm{~mm}\). Near the middle of the left artery, however, is a \(2.0-\mathrm{cm}\)-long stenosis, a section of the artery with a smaller diameter of \(3.4 \mathrm{~mm}\). For the same blood flow rate, what is the ratio of the pressure drop along the patient's left carotid artery to the drop along his right artery?