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Finding the Fourth Proportional to 9,198.92, 12,694.13 and 5,219.96

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Solution

The fourth proportional to 9,198.92, 12,694.13 and 5,219.96 is: 7,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.92 : 12,694.13 = 5,219.96 : x
  2. Step 2: Convert to fraction form
    9,198.92/12,694.13 = 5,219.96/x
  3. Step 3: Cross multiply
    9,198.92x = 12,694.13 × 5,219.96
  4. Step 4: Simplify right side
    9,198.92x = 66,262,761.26
  5. Step 5: Solve for x
    x = 66,262,761.26/9,198.92
  6. Step 6: Final answer
    x = 7,203.32

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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.