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Finding the Fourth Proportional to 9,198.32, 12,693.76 and 5,219.44

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Solution

The fourth proportional to 9,198.32, 12,693.76 and 5,219.44 is: 7,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.32 : 12,693.76 = 5,219.44 : x
  2. Step 2: Convert to fraction form
    9,198.32/12,693.76 = 5,219.44/x
  3. Step 3: Cross multiply
    9,198.32x = 12,693.76 × 5,219.44
  4. Step 4: Simplify right side
    9,198.32x = 66,254,318.69
  5. Step 5: Solve for x
    x = 66,254,318.69/9,198.32
  6. Step 6: Final answer
    x = 7,202.87

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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.