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Finding the Fourth Proportional to 6,171.60, 9,257.40 and 3,397.20

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Solution

The fourth proportional to 6,171.60, 9,257.40 and 3,397.20 is: 5,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.60 : 9,257.40 = 3,397.20 : x
  2. Step 2: Convert to fraction form
    6,171.60/9,257.40 = 3,397.20/x
  3. Step 3: Cross multiply
    6,171.60x = 9,257.40 × 3,397.20
  4. Step 4: Simplify right side
    6,171.60x = 31,449,239.28
  5. Step 5: Solve for x
    x = 31,449,239.28/6,171.60
  6. Step 6: Final answer
    x = 5,095.80

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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.