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Finding the Fourth Proportional to 6,098.73, 9,149.48 and 2,203.14

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Solution

The fourth proportional to 6,098.73, 9,149.48 and 2,203.14 is: 3,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.73 : 9,149.48 = 2,203.14 : x
  2. Step 2: Convert to fraction form
    6,098.73/9,149.48 = 2,203.14/x
  3. Step 3: Cross multiply
    6,098.73x = 9,149.48 × 2,203.14
  4. Step 4: Simplify right side
    6,098.73x = 20,157,558.79
  5. Step 5: Solve for x
    x = 20,157,558.79/6,098.73
  6. Step 6: Final answer
    x = 3,305.21

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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.