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Finding the Fourth Proportional to 6,399.69, 9,556.34 and 5,231.97

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Solution

The fourth proportional to 6,399.69, 9,556.34 and 5,231.97 is: 7,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.69 : 9,556.34 = 5,231.97 : x
  2. Step 2: Convert to fraction form
    6,399.69/9,556.34 = 5,231.97/x
  3. Step 3: Cross multiply
    6,399.69x = 9,556.34 × 5,231.97
  4. Step 4: Simplify right side
    6,399.69x = 49,998,458.03
  5. Step 5: Solve for x
    x = 49,998,458.03/6,399.69
  6. Step 6: Final answer
    x = 7,812.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.