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Finding the Fourth Proportional to 9,286.76, 13,930.26 and 3,443.38

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Solution

The fourth proportional to 9,286.76, 13,930.26 and 3,443.38 is: 5,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.76 : 13,930.26 = 3,443.38 : x
  2. Step 2: Convert to fraction form
    9,286.76/13,930.26 = 3,443.38/x
  3. Step 3: Cross multiply
    9,286.76x = 13,930.26 × 3,443.38
  4. Step 4: Simplify right side
    9,286.76x = 47,967,178.68
  5. Step 5: Solve for x
    x = 47,967,178.68/9,286.76
  6. Step 6: Final answer
    x = 5,165.11

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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.