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Finding the Fourth Proportional to 9,286.10, 12,812.62 and 5,253.02

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Solution

The fourth proportional to 9,286.10, 12,812.62 and 5,253.02 is: 7,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.10 : 12,812.62 = 5,253.02 : x
  2. Step 2: Convert to fraction form
    9,286.10/12,812.62 = 5,253.02/x
  3. Step 3: Cross multiply
    9,286.10x = 12,812.62 × 5,253.02
  4. Step 4: Simplify right side
    9,286.10x = 67,304,949.11
  5. Step 5: Solve for x
    x = 67,304,949.11/9,286.10
  6. Step 6: Final answer
    x = 7,247.92

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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.