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Finding the Fourth Proportional to 6,943.38, 9,582.12 and 3,959.70

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Solution

The fourth proportional to 6,943.38, 9,582.12 and 3,959.70 is: 5,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.38 : 9,582.12 = 3,959.70 : x
  2. Step 2: Convert to fraction form
    6,943.38/9,582.12 = 3,959.70/x
  3. Step 3: Cross multiply
    6,943.38x = 9,582.12 × 3,959.70
  4. Step 4: Simplify right side
    6,943.38x = 37,942,320.56
  5. Step 5: Solve for x
    x = 37,942,320.56/6,943.38
  6. Step 6: Final answer
    x = 5,464.53

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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.