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Finding the Fourth Proportional to 6,098.98, 9,143.01 and 2,202.48

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Solution

The fourth proportional to 6,098.98, 9,143.01 and 2,202.48 is: 3,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.98 : 9,143.01 = 2,202.48 : x
  2. Step 2: Convert to fraction form
    6,098.98/9,143.01 = 2,202.48/x
  3. Step 3: Cross multiply
    6,098.98x = 9,143.01 × 2,202.48
  4. Step 4: Simplify right side
    6,098.98x = 20,137,296.66
  5. Step 5: Solve for x
    x = 20,137,296.66/6,098.98
  6. Step 6: Final answer
    x = 3,301.75

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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.