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Finding the Fourth Proportional to 9,924.38, 14,889.40 and 8,092.82

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Solution

The fourth proportional to 9,924.38, 14,889.40 and 8,092.82 is: 12,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.38 : 14,889.40 = 8,092.82 : x
  2. Step 2: Convert to fraction form
    9,924.38/14,889.40 = 8,092.82/x
  3. Step 3: Cross multiply
    9,924.38x = 14,889.40 × 8,092.82
  4. Step 4: Simplify right side
    9,924.38x = 120,497,234.11
  5. Step 5: Solve for x
    x = 120,497,234.11/9,924.38
  6. Step 6: Final answer
    x = 12,141.54

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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.