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Finding the Fourth Proportional to 6,811.28, 9,398.34 and 3,827.24

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Solution

The fourth proportional to 6,811.28, 9,398.34 and 3,827.24 is: 5,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.28 : 9,398.34 = 3,827.24 : x
  2. Step 2: Convert to fraction form
    6,811.28/9,398.34 = 3,827.24/x
  3. Step 3: Cross multiply
    6,811.28x = 9,398.34 × 3,827.24
  4. Step 4: Simplify right side
    6,811.28x = 35,969,702.78
  5. Step 5: Solve for x
    x = 35,969,702.78/6,811.28
  6. Step 6: Final answer
    x = 5,280.90

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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.