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Finding the Fourth Proportional to 6,077.91, 9,133.97 and 3,613.17

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Solution

The fourth proportional to 6,077.91, 9,133.97 and 3,613.17 is: 5,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.91 : 9,133.97 = 3,613.17 : x
  2. Step 2: Convert to fraction form
    6,077.91/9,133.97 = 3,613.17/x
  3. Step 3: Cross multiply
    6,077.91x = 9,133.97 × 3,613.17
  4. Step 4: Simplify right side
    6,077.91x = 33,002,568.32
  5. Step 5: Solve for x
    x = 33,002,568.32/6,077.91
  6. Step 6: Final answer
    x = 5,429.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.