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Finding the Fourth Proportional to 9,286.78, 12,813.50 and 5,253.68

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Solution

The fourth proportional to 9,286.78, 12,813.50 and 5,253.68 is: 7,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.78 : 12,813.50 = 5,253.68 : x
  2. Step 2: Convert to fraction form
    9,286.78/12,813.50 = 5,253.68/x
  3. Step 3: Cross multiply
    9,286.78x = 12,813.50 × 5,253.68
  4. Step 4: Simplify right side
    9,286.78x = 67,318,028.68
  5. Step 5: Solve for x
    x = 67,318,028.68/9,286.78
  6. Step 6: Final answer
    x = 7,248.80

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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.