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Finding the Fourth Proportional to 34,582.92, 51,882.06 and 9,957

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Solution

The fourth proportional to 34,582.92, 51,882.06 and 9,957 is: 14,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,582.92 : 51,882.06 = 9,957 : x
  2. Step 2: Convert to fraction form
    34,582.92/51,882.06 = 9,957/x
  3. Step 3: Cross multiply
    34,582.92x = 51,882.06 × 9,957
  4. Step 4: Simplify right side
    34,582.92x = 516,589,671.42
  5. Step 5: Solve for x
    x = 516,589,671.42/34,582.92
  6. Step 6: Final answer
    x = 14,937.71

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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.