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Finding the Fourth Proportional to 9,395.34, 14,098.17 and 5,451.42

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Solution

The fourth proportional to 9,395.34, 14,098.17 and 5,451.42 is: 8,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.34 : 14,098.17 = 5,451.42 : x
  2. Step 2: Convert to fraction form
    9,395.34/14,098.17 = 5,451.42/x
  3. Step 3: Cross multiply
    9,395.34x = 14,098.17 × 5,451.42
  4. Step 4: Simplify right side
    9,395.34x = 76,855,045.90
  5. Step 5: Solve for x
    x = 76,855,045.90/9,395.34
  6. Step 6: Final answer
    x = 8,180.12

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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.