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Finding the Fourth Proportional to 9,337.71, 14,006.81 and 3,098.17

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Solution

The fourth proportional to 9,337.71, 14,006.81 and 3,098.17 is: 4,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.71 : 14,006.81 = 3,098.17 : x
  2. Step 2: Convert to fraction form
    9,337.71/14,006.81 = 3,098.17/x
  3. Step 3: Cross multiply
    9,337.71x = 14,006.81 × 3,098.17
  4. Step 4: Simplify right side
    9,337.71x = 43,395,451.27
  5. Step 5: Solve for x
    x = 43,395,451.27/9,337.71
  6. Step 6: Final answer
    x = 4,647.33

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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.