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Finding the Fourth Proportional to 6,115.24, 9,180.42 and 6,087.16

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Solution

The fourth proportional to 6,115.24, 9,180.42 and 6,087.16 is: 9,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.24 : 9,180.42 = 6,087.16 : x
  2. Step 2: Convert to fraction form
    6,115.24/9,180.42 = 6,087.16/x
  3. Step 3: Cross multiply
    6,115.24x = 9,180.42 × 6,087.16
  4. Step 4: Simplify right side
    6,115.24x = 55,882,685.41
  5. Step 5: Solve for x
    x = 55,882,685.41/6,115.24
  6. Step 6: Final answer
    x = 9,138.27

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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.