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Finding the Fourth Proportional to 6,422.64, 8,861.76 and 3,769.92

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Solution

The fourth proportional to 6,422.64, 8,861.76 and 3,769.92 is: 5,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.64 : 8,861.76 = 3,769.92 : x
  2. Step 2: Convert to fraction form
    6,422.64/8,861.76 = 3,769.92/x
  3. Step 3: Cross multiply
    6,422.64x = 8,861.76 × 3,769.92
  4. Step 4: Simplify right side
    6,422.64x = 33,408,126.26
  5. Step 5: Solve for x
    x = 33,408,126.26/6,422.64
  6. Step 6: Final answer
    x = 5,201.62

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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.