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Finding the Fourth Proportional to 9,251.83, 12,767.66 and 5,218.85

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Solution

The fourth proportional to 9,251.83, 12,767.66 and 5,218.85 is: 7,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.83 : 12,767.66 = 5,218.85 : x
  2. Step 2: Convert to fraction form
    9,251.83/12,767.66 = 5,218.85/x
  3. Step 3: Cross multiply
    9,251.83x = 12,767.66 × 5,218.85
  4. Step 4: Simplify right side
    9,251.83x = 66,632,504.92
  5. Step 5: Solve for x
    x = 66,632,504.92/9,251.83
  6. Step 6: Final answer
    x = 7,202.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.