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Finding the Fourth Proportional to 9,249.66, 13,870.17 and 3,402.18

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Solution

The fourth proportional to 9,249.66, 13,870.17 and 3,402.18 is: 5,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.66 : 13,870.17 = 3,402.18 : x
  2. Step 2: Convert to fraction form
    9,249.66/13,870.17 = 3,402.18/x
  3. Step 3: Cross multiply
    9,249.66x = 13,870.17 × 3,402.18
  4. Step 4: Simplify right side
    9,249.66x = 47,188,814.97
  5. Step 5: Solve for x
    x = 47,188,814.97/9,249.66
  6. Step 6: Final answer
    x = 5,101.68

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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.