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Finding the Fourth Proportional to 6,924.25, 9,556.47 and 3,940.82

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Solution

The fourth proportional to 6,924.25, 9,556.47 and 3,940.82 is: 5,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.25 : 9,556.47 = 3,940.82 : x
  2. Step 2: Convert to fraction form
    6,924.25/9,556.47 = 3,940.82/x
  3. Step 3: Cross multiply
    6,924.25x = 9,556.47 × 3,940.82
  4. Step 4: Simplify right side
    6,924.25x = 37,660,280.32
  5. Step 5: Solve for x
    x = 37,660,280.32/6,924.25
  6. Step 6: Final answer
    x = 5,438.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.