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Finding the Fourth Proportional to 9,310.52, 13,971.24 and 3,467

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Solution

The fourth proportional to 9,310.52, 13,971.24 and 3,467 is: 5,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.52 : 13,971.24 = 3,467 : x
  2. Step 2: Convert to fraction form
    9,310.52/13,971.24 = 3,467/x
  3. Step 3: Cross multiply
    9,310.52x = 13,971.24 × 3,467
  4. Step 4: Simplify right side
    9,310.52x = 48,438,289.08
  5. Step 5: Solve for x
    x = 48,438,289.08/9,310.52
  6. Step 6: Final answer
    x = 5,202.53

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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.