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Finding the Fourth Proportional to 9,226.89, 12,732.03 and 5,643.54

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Solution

The fourth proportional to 9,226.89, 12,732.03 and 5,643.54 is: 7,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.89 : 12,732.03 = 5,643.54 : x
  2. Step 2: Convert to fraction form
    9,226.89/12,732.03 = 5,643.54/x
  3. Step 3: Cross multiply
    9,226.89x = 12,732.03 × 5,643.54
  4. Step 4: Simplify right side
    9,226.89x = 71,853,720.59
  5. Step 5: Solve for x
    x = 71,853,720.59/9,226.89
  6. Step 6: Final answer
    x = 7,787.43

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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.