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Finding the Fourth Proportional to 6,441.12, 9,650.34 and 3,149.82

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Solution

The fourth proportional to 6,441.12, 9,650.34 and 3,149.82 is: 4,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.12 : 9,650.34 = 3,149.82 : x
  2. Step 2: Convert to fraction form
    6,441.12/9,650.34 = 3,149.82/x
  3. Step 3: Cross multiply
    6,441.12x = 9,650.34 × 3,149.82
  4. Step 4: Simplify right side
    6,441.12x = 30,396,833.94
  5. Step 5: Solve for x
    x = 30,396,833.94/6,441.12
  6. Step 6: Final answer
    x = 4,719.18

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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.