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Finding the Fourth Proportional to 6,147.33, 9,222.59 and 2,198.43

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Solution

The fourth proportional to 6,147.33, 9,222.59 and 2,198.43 is: 3,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.33 : 9,222.59 = 2,198.43 : x
  2. Step 2: Convert to fraction form
    6,147.33/9,222.59 = 2,198.43/x
  3. Step 3: Cross multiply
    6,147.33x = 9,222.59 × 2,198.43
  4. Step 4: Simplify right side
    6,147.33x = 20,275,224.03
  5. Step 5: Solve for x
    x = 20,275,224.03/6,147.33
  6. Step 6: Final answer
    x = 3,298.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.