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Finding the Fourth Proportional to 9,245.27, 12,743.46 and 7,225.13

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Solution

The fourth proportional to 9,245.27, 12,743.46 and 7,225.13 is: 9,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.27 : 12,743.46 = 7,225.13 : x
  2. Step 2: Convert to fraction form
    9,245.27/12,743.46 = 7,225.13/x
  3. Step 3: Cross multiply
    9,245.27x = 12,743.46 × 7,225.13
  4. Step 4: Simplify right side
    9,245.27x = 92,073,091.43
  5. Step 5: Solve for x
    x = 92,073,091.43/9,245.27
  6. Step 6: Final answer
    x = 9,958.95

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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.