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Finding the Fourth Proportional to 9,286.34, 12,814.97 and 5,253.12

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Solution

The fourth proportional to 9,286.34, 12,814.97 and 5,253.12 is: 7,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.34 : 12,814.97 = 5,253.12 : x
  2. Step 2: Convert to fraction form
    9,286.34/12,814.97 = 5,253.12/x
  3. Step 3: Cross multiply
    9,286.34x = 12,814.97 × 5,253.12
  4. Step 4: Simplify right side
    9,286.34x = 67,318,575.21
  5. Step 5: Solve for x
    x = 67,318,575.21/9,286.34
  6. Step 6: Final answer
    x = 7,249.20

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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.