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Finding the Fourth Proportional to 6,171.70, 9,257.55 and 4,105.30

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Solution

The fourth proportional to 6,171.70, 9,257.55 and 4,105.30 is: 6,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.70 : 9,257.55 = 4,105.30 : x
  2. Step 2: Convert to fraction form
    6,171.70/9,257.55 = 4,105.30/x
  3. Step 3: Cross multiply
    6,171.70x = 9,257.55 × 4,105.30
  4. Step 4: Simplify right side
    6,171.70x = 38,005,020.02
  5. Step 5: Solve for x
    x = 38,005,020.02/6,171.70
  6. Step 6: Final answer
    x = 6,157.95

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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.