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Finding the Fourth Proportional to 9,155.28, 12,633.12 and 5,967.12

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Solution

The fourth proportional to 9,155.28, 12,633.12 and 5,967.12 is: 8,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.28 : 12,633.12 = 5,967.12 : x
  2. Step 2: Convert to fraction form
    9,155.28/12,633.12 = 5,967.12/x
  3. Step 3: Cross multiply
    9,155.28x = 12,633.12 × 5,967.12
  4. Step 4: Simplify right side
    9,155.28x = 75,383,343.01
  5. Step 5: Solve for x
    x = 75,383,343.01/9,155.28
  6. Step 6: Final answer
    x = 8,233.87

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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.