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Finding the Fourth Proportional to 6,811.20, 9,398.88 and 3,826.80

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Solution

The fourth proportional to 6,811.20, 9,398.88 and 3,826.80 is: 5,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.20 : 9,398.88 = 3,826.80 : x
  2. Step 2: Convert to fraction form
    6,811.20/9,398.88 = 3,826.80/x
  3. Step 3: Cross multiply
    6,811.20x = 9,398.88 × 3,826.80
  4. Step 4: Simplify right side
    6,811.20x = 35,967,633.98
  5. Step 5: Solve for x
    x = 35,967,633.98/6,811.20
  6. Step 6: Final answer
    x = 5,280.66

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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.