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Finding the Fourth Proportional to 9,198.64, 12,694.62 and 5,220.28

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Solution

The fourth proportional to 9,198.64, 12,694.62 and 5,220.28 is: 7,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.64 : 12,694.62 = 5,220.28 : x
  2. Step 2: Convert to fraction form
    9,198.64/12,694.62 = 5,220.28/x
  3. Step 3: Cross multiply
    9,198.64x = 12,694.62 × 5,220.28
  4. Step 4: Simplify right side
    9,198.64x = 66,269,470.89
  5. Step 5: Solve for x
    x = 66,269,470.89/9,198.64
  6. Step 6: Final answer
    x = 7,204.27

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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.