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Finding the Fourth Proportional to 6,722.71, 9,277.32 and 3,738.37

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Solution

The fourth proportional to 6,722.71, 9,277.32 and 3,738.37 is: 5,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.71 : 9,277.32 = 3,738.37 : x
  2. Step 2: Convert to fraction form
    6,722.71/9,277.32 = 3,738.37/x
  3. Step 3: Cross multiply
    6,722.71x = 9,277.32 × 3,738.37
  4. Step 4: Simplify right side
    6,722.71x = 34,682,054.77
  5. Step 5: Solve for x
    x = 34,682,054.77/6,722.71
  6. Step 6: Final answer
    x = 5,158.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.