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Finding the Fourth Proportional to 9,286.28, 12,812.82 and 5,253.18

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Solution

The fourth proportional to 9,286.28, 12,812.82 and 5,253.18 is: 7,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.28 : 12,812.82 = 5,253.18 : x
  2. Step 2: Convert to fraction form
    9,286.28/12,812.82 = 5,253.18/x
  3. Step 3: Cross multiply
    9,286.28x = 12,812.82 × 5,253.18
  4. Step 4: Simplify right side
    9,286.28x = 67,308,049.77
  5. Step 5: Solve for x
    x = 67,308,049.77/9,286.28
  6. Step 6: Final answer
    x = 7,248.12

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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.