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Finding the Fourth Proportional to 6,822.50, 9,414.54 and 3,797.73

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Solution

The fourth proportional to 6,822.50, 9,414.54 and 3,797.73 is: 5,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.50 : 9,414.54 = 3,797.73 : x
  2. Step 2: Convert to fraction form
    6,822.50/9,414.54 = 3,797.73/x
  3. Step 3: Cross multiply
    6,822.50x = 9,414.54 × 3,797.73
  4. Step 4: Simplify right side
    6,822.50x = 35,753,880.99
  5. Step 5: Solve for x
    x = 35,753,880.99/6,822.50
  6. Step 6: Final answer
    x = 5,240.59

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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.