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Finding the Fourth Proportional to 9,286.14, 13,938.05 and 5,765.49

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Solution

The fourth proportional to 9,286.14, 13,938.05 and 5,765.49 is: 8,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.14 : 13,938.05 = 5,765.49 : x
  2. Step 2: Convert to fraction form
    9,286.14/13,938.05 = 5,765.49/x
  3. Step 3: Cross multiply
    9,286.14x = 13,938.05 × 5,765.49
  4. Step 4: Simplify right side
    9,286.14x = 80,359,687.89
  5. Step 5: Solve for x
    x = 80,359,687.89/9,286.14
  6. Step 6: Final answer
    x = 8,653.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.