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Finding the Fourth Proportional to 6,909.38, 9,532.41 and 4,426.82

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Solution

The fourth proportional to 6,909.38, 9,532.41 and 4,426.82 is: 6,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.38 : 9,532.41 = 4,426.82 : x
  2. Step 2: Convert to fraction form
    6,909.38/9,532.41 = 4,426.82/x
  3. Step 3: Cross multiply
    6,909.38x = 9,532.41 × 4,426.82
  4. Step 4: Simplify right side
    6,909.38x = 42,198,263.24
  5. Step 5: Solve for x
    x = 42,198,263.24/6,909.38
  6. Step 6: Final answer
    x = 6,107.39

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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.