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Finding the Fourth Proportional to 6,171.48, 9,258.39 and 3,211.34

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Solution

The fourth proportional to 6,171.48, 9,258.39 and 3,211.34 is: 4,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.48 : 9,258.39 = 3,211.34 : x
  2. Step 2: Convert to fraction form
    6,171.48/9,258.39 = 3,211.34/x
  3. Step 3: Cross multiply
    6,171.48x = 9,258.39 × 3,211.34
  4. Step 4: Simplify right side
    6,171.48x = 29,731,791.85
  5. Step 5: Solve for x
    x = 29,731,791.85/6,171.48
  6. Step 6: Final answer
    x = 4,817.61

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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.