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Finding the Fourth Proportional to 9,138.43, 13,704.81 and 3,294.28

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Solution

The fourth proportional to 9,138.43, 13,704.81 and 3,294.28 is: 4,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.43 : 13,704.81 = 3,294.28 : x
  2. Step 2: Convert to fraction form
    9,138.43/13,704.81 = 3,294.28/x
  3. Step 3: Cross multiply
    9,138.43x = 13,704.81 × 3,294.28
  4. Step 4: Simplify right side
    9,138.43x = 45,147,481.49
  5. Step 5: Solve for x
    x = 45,147,481.49/9,138.43
  6. Step 6: Final answer
    x = 4,940.40

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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.