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Finding the Fourth Proportional to 6,765.62, 9,336.24 and 3,781.40

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Solution

The fourth proportional to 6,765.62, 9,336.24 and 3,781.40 is: 5,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.62 : 9,336.24 = 3,781.40 : x
  2. Step 2: Convert to fraction form
    6,765.62/9,336.24 = 3,781.40/x
  3. Step 3: Cross multiply
    6,765.62x = 9,336.24 × 3,781.40
  4. Step 4: Simplify right side
    6,765.62x = 35,304,011.25
  5. Step 5: Solve for x
    x = 35,304,011.25/6,765.62
  6. Step 6: Final answer
    x = 5,218.15

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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.