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Finding the Fourth Proportional to 6,170.90, 9,252.25 and 3,398.88

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Solution

The fourth proportional to 6,170.90, 9,252.25 and 3,398.88 is: 5,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.90 : 9,252.25 = 3,398.88 : x
  2. Step 2: Convert to fraction form
    6,170.90/9,252.25 = 3,398.88/x
  3. Step 3: Cross multiply
    6,170.90x = 9,252.25 × 3,398.88
  4. Step 4: Simplify right side
    6,170.90x = 31,447,278.98
  5. Step 5: Solve for x
    x = 31,447,278.98/6,170.90
  6. Step 6: Final answer
    x = 5,096.06

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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.