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Finding the Fourth Proportional to 9,614.46, 13,267.92 and 5,422.71

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Solution

The fourth proportional to 9,614.46, 13,267.92 and 5,422.71 is: 7,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.46 : 13,267.92 = 5,422.71 : x
  2. Step 2: Convert to fraction form
    9,614.46/13,267.92 = 5,422.71/x
  3. Step 3: Cross multiply
    9,614.46x = 13,267.92 × 5,422.71
  4. Step 4: Simplify right side
    9,614.46x = 71,948,082.46
  5. Step 5: Solve for x
    x = 71,948,082.46/9,614.46
  6. Step 6: Final answer
    x = 7,483.32

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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.