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Finding the Fourth Proportional to 6,324.21, 8,728.56 and 3,671.73

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Solution

The fourth proportional to 6,324.21, 8,728.56 and 3,671.73 is: 5,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.21 : 8,728.56 = 3,671.73 : x
  2. Step 2: Convert to fraction form
    6,324.21/8,728.56 = 3,671.73/x
  3. Step 3: Cross multiply
    6,324.21x = 8,728.56 × 3,671.73
  4. Step 4: Simplify right side
    6,324.21x = 32,048,915.61
  5. Step 5: Solve for x
    x = 32,048,915.61/6,324.21
  6. Step 6: Final answer
    x = 5,067.66

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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.