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Finding the Fourth Proportional to 6,134.76, 9,200.31 and 2,238.25

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Solution

The fourth proportional to 6,134.76, 9,200.31 and 2,238.25 is: 3,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.76 : 9,200.31 = 2,238.25 : x
  2. Step 2: Convert to fraction form
    6,134.76/9,200.31 = 2,238.25/x
  3. Step 3: Cross multiply
    6,134.76x = 9,200.31 × 2,238.25
  4. Step 4: Simplify right side
    6,134.76x = 20,592,593.86
  5. Step 5: Solve for x
    x = 20,592,593.86/6,134.76
  6. Step 6: Final answer
    x = 3,356.71

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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.