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Finding the Fourth Proportional to 9,908, 14,863.24 and 3,666.96

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Solution

The fourth proportional to 9,908, 14,863.24 and 3,666.96 is: 5,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908 : 14,863.24 = 3,666.96 : x
  2. Step 2: Convert to fraction form
    9,908/14,863.24 = 3,666.96/x
  3. Step 3: Cross multiply
    9,908x = 14,863.24 × 3,666.96
  4. Step 4: Simplify right side
    9,908x = 54,502,906.55
  5. Step 5: Solve for x
    x = 54,502,906.55/9,908
  6. Step 6: Final answer
    x = 5,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.