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Finding the Fourth Proportional to 6,321.76, 9,469.94 and 3,149.64

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Solution

The fourth proportional to 6,321.76, 9,469.94 and 3,149.64 is: 4,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.76 : 9,469.94 = 3,149.64 : x
  2. Step 2: Convert to fraction form
    6,321.76/9,469.94 = 3,149.64/x
  3. Step 3: Cross multiply
    6,321.76x = 9,469.94 × 3,149.64
  4. Step 4: Simplify right side
    6,321.76x = 29,826,901.82
  5. Step 5: Solve for x
    x = 29,826,901.82/6,321.76
  6. Step 6: Final answer
    x = 4,718.13

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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.