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Finding the Fourth Proportional to 9,693.24, 14,517.42 and 8,272.20

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Solution

The fourth proportional to 9,693.24, 14,517.42 and 8,272.20 is: 12,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.24 : 14,517.42 = 8,272.20 : x
  2. Step 2: Convert to fraction form
    9,693.24/14,517.42 = 8,272.20/x
  3. Step 3: Cross multiply
    9,693.24x = 14,517.42 × 8,272.20
  4. Step 4: Simplify right side
    9,693.24x = 120,091,001.72
  5. Step 5: Solve for x
    x = 120,091,001.72/9,693.24
  6. Step 6: Final answer
    x = 12,389.15

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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.