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Finding the Fourth Proportional to 6,149.38, 9,226.77 and 3,227.00

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Solution

The fourth proportional to 6,149.38, 9,226.77 and 3,227.00 is: 4,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.38 : 9,226.77 = 3,227.00 : x
  2. Step 2: Convert to fraction form
    6,149.38/9,226.77 = 3,227.00/x
  3. Step 3: Cross multiply
    6,149.38x = 9,226.77 × 3,227.00
  4. Step 4: Simplify right side
    6,149.38x = 29,774,763.16
  5. Step 5: Solve for x
    x = 29,774,763.16/6,149.38
  6. Step 6: Final answer
    x = 4,841.91

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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.