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Finding the Fourth Proportional to 9,617.27, 14,449.02 and 9,086.24

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Solution

The fourth proportional to 9,617.27, 14,449.02 and 9,086.24 is: 13,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.27 : 14,449.02 = 9,086.24 : x
  2. Step 2: Convert to fraction form
    9,617.27/14,449.02 = 9,086.24/x
  3. Step 3: Cross multiply
    9,617.27x = 14,449.02 × 9,086.24
  4. Step 4: Simplify right side
    9,617.27x = 131,287,191.24
  5. Step 5: Solve for x
    x = 131,287,191.24/9,617.27
  6. Step 6: Final answer
    x = 13,651.20

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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.