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Finding the Fourth Proportional to 6,963.43, 9,609 and 3,819.61

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Solution

The fourth proportional to 6,963.43, 9,609 and 3,819.61 is: 5,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.43 : 9,609 = 3,819.61 : x
  2. Step 2: Convert to fraction form
    6,963.43/9,609 = 3,819.61/x
  3. Step 3: Cross multiply
    6,963.43x = 9,609 × 3,819.61
  4. Step 4: Simplify right side
    6,963.43x = 36,702,632.49
  5. Step 5: Solve for x
    x = 36,702,632.49/6,963.43
  6. Step 6: Final answer
    x = 5,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.