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Finding the Fourth Proportional to 9,260.38, 13,893 and 2,687.14

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Solution

The fourth proportional to 9,260.38, 13,893 and 2,687.14 is: 4,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.38 : 13,893 = 2,687.14 : x
  2. Step 2: Convert to fraction form
    9,260.38/13,893 = 2,687.14/x
  3. Step 3: Cross multiply
    9,260.38x = 13,893 × 2,687.14
  4. Step 4: Simplify right side
    9,260.38x = 37,332,436.02
  5. Step 5: Solve for x
    x = 37,332,436.02/9,260.38
  6. Step 6: Final answer
    x = 4,031.42

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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.