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Finding the Fourth Proportional to 6,170.34, 9,251.40 and 3,398.31

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Solution

The fourth proportional to 6,170.34, 9,251.40 and 3,398.31 is: 5,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.34 : 9,251.40 = 3,398.31 : x
  2. Step 2: Convert to fraction form
    6,170.34/9,251.40 = 3,398.31/x
  3. Step 3: Cross multiply
    6,170.34x = 9,251.40 × 3,398.31
  4. Step 4: Simplify right side
    6,170.34x = 31,439,125.13
  5. Step 5: Solve for x
    x = 31,439,125.13/6,170.34
  6. Step 6: Final answer
    x = 5,095.20

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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.