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Finding the Fourth Proportional to 6,913.47, 9,540.66 and 3,769.66

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Solution

The fourth proportional to 6,913.47, 9,540.66 and 3,769.66 is: 5,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.47 : 9,540.66 = 3,769.66 : x
  2. Step 2: Convert to fraction form
    6,913.47/9,540.66 = 3,769.66/x
  3. Step 3: Cross multiply
    6,913.47x = 9,540.66 × 3,769.66
  4. Step 4: Simplify right side
    6,913.47x = 35,965,044.38
  5. Step 5: Solve for x
    x = 35,965,044.38/6,913.47
  6. Step 6: Final answer
    x = 5,202.17

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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.