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Finding the Fourth Proportional to 9,747.38, 14,616.20 and 4,480.76

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Solution

The fourth proportional to 9,747.38, 14,616.20 and 4,480.76 is: 6,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.38 : 14,616.20 = 4,480.76 : x
  2. Step 2: Convert to fraction form
    9,747.38/14,616.20 = 4,480.76/x
  3. Step 3: Cross multiply
    9,747.38x = 14,616.20 × 4,480.76
  4. Step 4: Simplify right side
    9,747.38x = 65,491,684.31
  5. Step 5: Solve for x
    x = 65,491,684.31/9,747.38
  6. Step 6: Final answer
    x = 6,718.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.