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Finding the Fourth Proportional to 9,937.92, 14,911.36 and 4,098.56

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Solution

The fourth proportional to 9,937.92, 14,911.36 and 4,098.56 is: 6,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.92 : 14,911.36 = 4,098.56 : x
  2. Step 2: Convert to fraction form
    9,937.92/14,911.36 = 4,098.56/x
  3. Step 3: Cross multiply
    9,937.92x = 14,911.36 × 4,098.56
  4. Step 4: Simplify right side
    9,937.92x = 61,115,103.64
  5. Step 5: Solve for x
    x = 61,115,103.64/9,937.92
  6. Step 6: Final answer
    x = 6,149.69

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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.