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Finding the Fourth Proportional to 9,462.92, 13,061.86 and 5,923.88

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Solution

The fourth proportional to 9,462.92, 13,061.86 and 5,923.88 is: 8,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.92 : 13,061.86 = 5,923.88 : x
  2. Step 2: Convert to fraction form
    9,462.92/13,061.86 = 5,923.88/x
  3. Step 3: Cross multiply
    9,462.92x = 13,061.86 × 5,923.88
  4. Step 4: Simplify right side
    9,462.92x = 77,376,891.22
  5. Step 5: Solve for x
    x = 77,376,891.22/9,462.92
  6. Step 6: Final answer
    x = 8,176.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.