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Finding the Fourth Proportional to 6,072.42, 9,091.14 and 5,439.24

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Solution

The fourth proportional to 6,072.42, 9,091.14 and 5,439.24 is: 8,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.42 : 9,091.14 = 5,439.24 : x
  2. Step 2: Convert to fraction form
    6,072.42/9,091.14 = 5,439.24/x
  3. Step 3: Cross multiply
    6,072.42x = 9,091.14 × 5,439.24
  4. Step 4: Simplify right side
    6,072.42x = 49,448,892.33
  5. Step 5: Solve for x
    x = 49,448,892.33/6,072.42
  6. Step 6: Final answer
    x = 8,143.19

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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.