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Finding the Fourth Proportional to 6,002.14, 9,004.17 and 2,539.42

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Solution

The fourth proportional to 6,002.14, 9,004.17 and 2,539.42 is: 3,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.14 : 9,004.17 = 2,539.42 : x
  2. Step 2: Convert to fraction form
    6,002.14/9,004.17 = 2,539.42/x
  3. Step 3: Cross multiply
    6,002.14x = 9,004.17 × 2,539.42
  4. Step 4: Simplify right side
    6,002.14x = 22,865,369.38
  5. Step 5: Solve for x
    x = 22,865,369.38/6,002.14
  6. Step 6: Final answer
    x = 3,809.54

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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.