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Finding the Fourth Proportional to 6,963.06, 9,609.30 and 3,819.36

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Solution

The fourth proportional to 6,963.06, 9,609.30 and 3,819.36 is: 5,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.06 : 9,609.30 = 3,819.36 : x
  2. Step 2: Convert to fraction form
    6,963.06/9,609.30 = 3,819.36/x
  3. Step 3: Cross multiply
    6,963.06x = 9,609.30 × 3,819.36
  4. Step 4: Simplify right side
    6,963.06x = 36,701,376.05
  5. Step 5: Solve for x
    x = 36,701,376.05/6,963.06
  6. Step 6: Final answer
    x = 5,270.87

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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.