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Finding the Fourth Proportional to 9,614.38, 13,279.62 and 6,957.58

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Solution

The fourth proportional to 9,614.38, 13,279.62 and 6,957.58 is: 9,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.38 : 13,279.62 = 6,957.58 : x
  2. Step 2: Convert to fraction form
    9,614.38/13,279.62 = 6,957.58/x
  3. Step 3: Cross multiply
    9,614.38x = 13,279.62 × 6,957.58
  4. Step 4: Simplify right side
    9,614.38x = 92,394,018.52
  5. Step 5: Solve for x
    x = 92,394,018.52/9,614.38
  6. Step 6: Final answer
    x = 9,609.98

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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.