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Finding the Fourth Proportional to 6,687.14, 9,228.38 and 4,001.12

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Solution

The fourth proportional to 6,687.14, 9,228.38 and 4,001.12 is: 5,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.14 : 9,228.38 = 4,001.12 : x
  2. Step 2: Convert to fraction form
    6,687.14/9,228.38 = 4,001.12/x
  3. Step 3: Cross multiply
    6,687.14x = 9,228.38 × 4,001.12
  4. Step 4: Simplify right side
    6,687.14x = 36,923,789.64
  5. Step 5: Solve for x
    x = 36,923,789.64/6,687.14
  6. Step 6: Final answer
    x = 5,521.62

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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.