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Finding the Fourth Proportional to 6,520.06, 9,767.85 and 3,229.30

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Solution

The fourth proportional to 6,520.06, 9,767.85 and 3,229.30 is: 4,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.06 : 9,767.85 = 3,229.30 : x
  2. Step 2: Convert to fraction form
    6,520.06/9,767.85 = 3,229.30/x
  3. Step 3: Cross multiply
    6,520.06x = 9,767.85 × 3,229.30
  4. Step 4: Simplify right side
    6,520.06x = 31,543,318.01
  5. Step 5: Solve for x
    x = 31,543,318.01/6,520.06
  6. Step 6: Final answer
    x = 4,837.89

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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.