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Finding the Fourth Proportional to 6,783.27, 9,371.61 and 6,414.18

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Solution

The fourth proportional to 6,783.27, 9,371.61 and 6,414.18 is: 8,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.27 : 9,371.61 = 6,414.18 : x
  2. Step 2: Convert to fraction form
    6,783.27/9,371.61 = 6,414.18/x
  3. Step 3: Cross multiply
    6,783.27x = 9,371.61 × 6,414.18
  4. Step 4: Simplify right side
    6,783.27x = 60,111,193.43
  5. Step 5: Solve for x
    x = 60,111,193.43/6,783.27
  6. Step 6: Final answer
    x = 8,861.68

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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.