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Finding the Fourth Proportional to 6,924.23, 9,556.24 and 3,899.38

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Solution

The fourth proportional to 6,924.23, 9,556.24 and 3,899.38 is: 5,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.23 : 9,556.24 = 3,899.38 : x
  2. Step 2: Convert to fraction form
    6,924.23/9,556.24 = 3,899.38/x
  3. Step 3: Cross multiply
    6,924.23x = 9,556.24 × 3,899.38
  4. Step 4: Simplify right side
    6,924.23x = 37,263,414.92
  5. Step 5: Solve for x
    x = 37,263,414.92/6,924.23
  6. Step 6: Final answer
    x = 5,381.60

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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.