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Finding the Fourth Proportional to 9,952.52, 14,917.80 and 4,105.92

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Solution

The fourth proportional to 9,952.52, 14,917.80 and 4,105.92 is: 6,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.52 : 14,917.80 = 4,105.92 : x
  2. Step 2: Convert to fraction form
    9,952.52/14,917.80 = 4,105.92/x
  3. Step 3: Cross multiply
    9,952.52x = 14,917.80 × 4,105.92
  4. Step 4: Simplify right side
    9,952.52x = 61,251,293.38
  5. Step 5: Solve for x
    x = 61,251,293.38/9,952.52
  6. Step 6: Final answer
    x = 6,154.35

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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.