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Finding the Fourth Proportional to 6,892.20, 9,512.16 and 3,909.12

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Solution

The fourth proportional to 6,892.20, 9,512.16 and 3,909.12 is: 5,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.20 : 9,512.16 = 3,909.12 : x
  2. Step 2: Convert to fraction form
    6,892.20/9,512.16 = 3,909.12/x
  3. Step 3: Cross multiply
    6,892.20x = 9,512.16 × 3,909.12
  4. Step 4: Simplify right side
    6,892.20x = 37,184,174.90
  5. Step 5: Solve for x
    x = 37,184,174.90/6,892.20
  6. Step 6: Final answer
    x = 5,395.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.