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Finding the Fourth Proportional to 6,086.24, 9,129.32 and 1,469.24

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Solution

The fourth proportional to 6,086.24, 9,129.32 and 1,469.24 is: 2,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.24 : 9,129.32 = 1,469.24 : x
  2. Step 2: Convert to fraction form
    6,086.24/9,129.32 = 1,469.24/x
  3. Step 3: Cross multiply
    6,086.24x = 9,129.32 × 1,469.24
  4. Step 4: Simplify right side
    6,086.24x = 13,413,162.12
  5. Step 5: Solve for x
    x = 13,413,162.12/6,086.24
  6. Step 6: Final answer
    x = 2,203.85

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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.