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Finding the Fourth Proportional to 6,414.22, 8,851.57 and 3,581.42

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Solution

The fourth proportional to 6,414.22, 8,851.57 and 3,581.42 is: 4,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.22 : 8,851.57 = 3,581.42 : x
  2. Step 2: Convert to fraction form
    6,414.22/8,851.57 = 3,581.42/x
  3. Step 3: Cross multiply
    6,414.22x = 8,851.57 × 3,581.42
  4. Step 4: Simplify right side
    6,414.22x = 31,701,136.62
  5. Step 5: Solve for x
    x = 31,701,136.62/6,414.22
  6. Step 6: Final answer
    x = 4,942.32

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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.