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Finding the Fourth Proportional to 9,843.11, 14,747.95 and 5,939.31

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Solution

The fourth proportional to 9,843.11, 14,747.95 and 5,939.31 is: 8,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.11 : 14,747.95 = 5,939.31 : x
  2. Step 2: Convert to fraction form
    9,843.11/14,747.95 = 5,939.31/x
  3. Step 3: Cross multiply
    9,843.11x = 14,747.95 × 5,939.31
  4. Step 4: Simplify right side
    9,843.11x = 87,592,646.91
  5. Step 5: Solve for x
    x = 87,592,646.91/9,843.11
  6. Step 6: Final answer
    x = 8,898.88

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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.