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Finding the Fourth Proportional to 6,078.91, 9,135.47 and 3,614.17

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Solution

The fourth proportional to 6,078.91, 9,135.47 and 3,614.17 is: 5,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.91 : 9,135.47 = 3,614.17 : x
  2. Step 2: Convert to fraction form
    6,078.91/9,135.47 = 3,614.17/x
  3. Step 3: Cross multiply
    6,078.91x = 9,135.47 × 3,614.17
  4. Step 4: Simplify right side
    6,078.91x = 33,017,141.61
  5. Step 5: Solve for x
    x = 33,017,141.61/6,078.91
  6. Step 6: Final answer
    x = 5,431.42

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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.