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Finding the Fourth Proportional to 6,665.69, 9,198.22 and 3,832.39

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Solution

The fourth proportional to 6,665.69, 9,198.22 and 3,832.39 is: 5,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.69 : 9,198.22 = 3,832.39 : x
  2. Step 2: Convert to fraction form
    6,665.69/9,198.22 = 3,832.39/x
  3. Step 3: Cross multiply
    6,665.69x = 9,198.22 × 3,832.39
  4. Step 4: Simplify right side
    6,665.69x = 35,251,166.35
  5. Step 5: Solve for x
    x = 35,251,166.35/6,665.69
  6. Step 6: Final answer
    x = 5,288.45

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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.