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Finding the Fourth Proportional to 5,962.41, 8,947.26 and 3,768.12

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Solution

The fourth proportional to 5,962.41, 8,947.26 and 3,768.12 is: 5,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.41 : 8,947.26 = 3,768.12 : x
  2. Step 2: Convert to fraction form
    5,962.41/8,947.26 = 3,768.12/x
  3. Step 3: Cross multiply
    5,962.41x = 8,947.26 × 3,768.12
  4. Step 4: Simplify right side
    5,962.41x = 33,714,349.35
  5. Step 5: Solve for x
    x = 33,714,349.35/5,962.41
  6. Step 6: Final answer
    x = 5,654.48

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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.