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Finding the Fourth Proportional to 9,084, 13,626 and 3,612

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Solution

The fourth proportional to 9,084, 13,626 and 3,612 is: 5,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084 : 13,626 = 3,612 : x
  2. Step 2: Convert to fraction form
    9,084/13,626 = 3,612/x
  3. Step 3: Cross multiply
    9,084x = 13,626 × 3,612
  4. Step 4: Simplify right side
    9,084x = 49,217,112
  5. Step 5: Solve for x
    x = 49,217,112/9,084
  6. Step 6: Final answer
    x = 5,418

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Why These Related Problems?

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