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Finding the Fourth Proportional to 6,171.12, 8,518.92 and 3,936

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Solution

The fourth proportional to 6,171.12, 8,518.92 and 3,936 is: 5,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.12 : 8,518.92 = 3,936 : x
  2. Step 2: Convert to fraction form
    6,171.12/8,518.92 = 3,936/x
  3. Step 3: Cross multiply
    6,171.12x = 8,518.92 × 3,936
  4. Step 4: Simplify right side
    6,171.12x = 33,530,469.12
  5. Step 5: Solve for x
    x = 33,530,469.12/6,171.12
  6. Step 6: Final answer
    x = 5,433.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.