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Finding the Fourth Proportional to 6,909.38, 9,538.45 and 4,077.62

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Solution

The fourth proportional to 6,909.38, 9,538.45 and 4,077.62 is: 5,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.38 : 9,538.45 = 4,077.62 : x
  2. Step 2: Convert to fraction form
    6,909.38/9,538.45 = 4,077.62/x
  3. Step 3: Cross multiply
    6,909.38x = 9,538.45 × 4,077.62
  4. Step 4: Simplify right side
    6,909.38x = 38,894,145.61
  5. Step 5: Solve for x
    x = 38,894,145.61/6,909.38
  6. Step 6: Final answer
    x = 5,629.18

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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.