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Finding the Fourth Proportional to 9,917.62, 14,882.11 and 3,997.22

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Solution

The fourth proportional to 9,917.62, 14,882.11 and 3,997.22 is: 5,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.62 : 14,882.11 = 3,997.22 : x
  2. Step 2: Convert to fraction form
    9,917.62/14,882.11 = 3,997.22/x
  3. Step 3: Cross multiply
    9,917.62x = 14,882.11 × 3,997.22
  4. Step 4: Simplify right side
    9,917.62x = 59,486,983.33
  5. Step 5: Solve for x
    x = 59,486,983.33/9,917.62
  6. Step 6: Final answer
    x = 5,998.11

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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.