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Finding the Fourth Proportional to 6,224.48, 9,338.17 and 2,762

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Solution

The fourth proportional to 6,224.48, 9,338.17 and 2,762 is: 4,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.48 : 9,338.17 = 2,762 : x
  2. Step 2: Convert to fraction form
    6,224.48/9,338.17 = 2,762/x
  3. Step 3: Cross multiply
    6,224.48x = 9,338.17 × 2,762
  4. Step 4: Simplify right side
    6,224.48x = 25,792,025.54
  5. Step 5: Solve for x
    x = 25,792,025.54/6,224.48
  6. Step 6: Final answer
    x = 4,143.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.