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Finding the Fourth Proportional to 9,558.24, 14,324.16 and 8,517.12

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Solution

The fourth proportional to 9,558.24, 14,324.16 and 8,517.12 is: 12,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.24 : 14,324.16 = 8,517.12 : x
  2. Step 2: Convert to fraction form
    9,558.24/14,324.16 = 8,517.12/x
  3. Step 3: Cross multiply
    9,558.24x = 14,324.16 × 8,517.12
  4. Step 4: Simplify right side
    9,558.24x = 122,000,589.62
  5. Step 5: Solve for x
    x = 122,000,589.62/9,558.24
  6. Step 6: Final answer
    x = 12,763.92

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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.