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Finding the Fourth Proportional to 6,466.28, 8,923.46 and 3,671.78

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Solution

The fourth proportional to 6,466.28, 8,923.46 and 3,671.78 is: 5,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.28 : 8,923.46 = 3,671.78 : x
  2. Step 2: Convert to fraction form
    6,466.28/8,923.46 = 3,671.78/x
  3. Step 3: Cross multiply
    6,466.28x = 8,923.46 × 3,671.78
  4. Step 4: Simplify right side
    6,466.28x = 32,764,918.98
  5. Step 5: Solve for x
    x = 32,764,918.98/6,466.28
  6. Step 6: Final answer
    x = 5,067.05

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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.