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Finding the Fourth Proportional to 6,909.96, 9,535.78 and 3,766.04

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Solution

The fourth proportional to 6,909.96, 9,535.78 and 3,766.04 is: 5,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.96 : 9,535.78 = 3,766.04 : x
  2. Step 2: Convert to fraction form
    6,909.96/9,535.78 = 3,766.04/x
  3. Step 3: Cross multiply
    6,909.96x = 9,535.78 × 3,766.04
  4. Step 4: Simplify right side
    6,909.96x = 35,912,128.91
  5. Step 5: Solve for x
    x = 35,912,128.91/6,909.96
  6. Step 6: Final answer
    x = 5,197.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.