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Finding the Fourth Proportional to 9,198.72, 12,693.21 and 5,219.87

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Solution

The fourth proportional to 9,198.72, 12,693.21 and 5,219.87 is: 7,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.72 : 12,693.21 = 5,219.87 : x
  2. Step 2: Convert to fraction form
    9,198.72/12,693.21 = 5,219.87/x
  3. Step 3: Cross multiply
    9,198.72x = 12,693.21 × 5,219.87
  4. Step 4: Simplify right side
    9,198.72x = 66,256,842.62
  5. Step 5: Solve for x
    x = 66,256,842.62/9,198.72
  6. Step 6: Final answer
    x = 7,202.83

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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.