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Finding the Fourth Proportional to 27,902.43, 41,843.34 and 9,177

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Solution

The fourth proportional to 27,902.43, 41,843.34 and 9,177 is: 13,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.43 : 41,843.34 = 9,177 : x
  2. Step 2: Convert to fraction form
    27,902.43/41,843.34 = 9,177/x
  3. Step 3: Cross multiply
    27,902.43x = 41,843.34 × 9,177
  4. Step 4: Simplify right side
    27,902.43x = 383,996,331.18
  5. Step 5: Solve for x
    x = 383,996,331.18/27,902.43
  6. Step 6: Final answer
    x = 13,762.11

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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.