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Finding the Fourth Proportional to 6,142.72, 9,213.12 and 2,679.04

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Solution

The fourth proportional to 6,142.72, 9,213.12 and 2,679.04 is: 4,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.72 : 9,213.12 = 2,679.04 : x
  2. Step 2: Convert to fraction form
    6,142.72/9,213.12 = 2,679.04/x
  3. Step 3: Cross multiply
    6,142.72x = 9,213.12 × 2,679.04
  4. Step 4: Simplify right side
    6,142.72x = 24,682,317.00
  5. Step 5: Solve for x
    x = 24,682,317.00/6,142.72
  6. Step 6: Final answer
    x = 4,018.14

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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.