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Finding the Fourth Proportional to 6,086.20, 9,129.29 and 1,469.20

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Solution

The fourth proportional to 6,086.20, 9,129.29 and 1,469.20 is: 2,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.20 : 9,129.29 = 1,469.20 : x
  2. Step 2: Convert to fraction form
    6,086.20/9,129.29 = 1,469.20/x
  3. Step 3: Cross multiply
    6,086.20x = 9,129.29 × 1,469.20
  4. Step 4: Simplify right side
    6,086.20x = 13,412,752.87
  5. Step 5: Solve for x
    x = 13,412,752.87/6,086.20
  6. Step 6: Final answer
    x = 2,203.80

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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.