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Finding the Fourth Proportional to 6,943.44, 9,578.85 and 4,424.18

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Solution

The fourth proportional to 6,943.44, 9,578.85 and 4,424.18 is: 6,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.44 : 9,578.85 = 4,424.18 : x
  2. Step 2: Convert to fraction form
    6,943.44/9,578.85 = 4,424.18/x
  3. Step 3: Cross multiply
    6,943.44x = 9,578.85 × 4,424.18
  4. Step 4: Simplify right side
    6,943.44x = 42,378,556.59
  5. Step 5: Solve for x
    x = 42,378,556.59/6,943.44
  6. Step 6: Final answer
    x = 6,103.39

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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.