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Finding the Fourth Proportional to 9,198.10, 12,693.67 and 5,219.38

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Solution

The fourth proportional to 9,198.10, 12,693.67 and 5,219.38 is: 7,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.10 : 12,693.67 = 5,219.38 : x
  2. Step 2: Convert to fraction form
    9,198.10/12,693.67 = 5,219.38/x
  3. Step 3: Cross multiply
    9,198.10x = 12,693.67 × 5,219.38
  4. Step 4: Simplify right side
    9,198.10x = 66,253,023.86
  5. Step 5: Solve for x
    x = 66,253,023.86/9,198.10
  6. Step 6: Final answer
    x = 7,202.91

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Why These Related Problems?

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