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Finding the Fourth Proportional to 9,239.85, 12,747.11 and 6,092.01

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Solution

The fourth proportional to 9,239.85, 12,747.11 and 6,092.01 is: 8,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.85 : 12,747.11 = 6,092.01 : x
  2. Step 2: Convert to fraction form
    9,239.85/12,747.11 = 6,092.01/x
  3. Step 3: Cross multiply
    9,239.85x = 12,747.11 × 6,092.01
  4. Step 4: Simplify right side
    9,239.85x = 77,655,491.13
  5. Step 5: Solve for x
    x = 77,655,491.13/9,239.85
  6. Step 6: Final answer
    x = 8,404.41

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Why These Related Problems?

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