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Finding the Fourth Proportional to 6,725.33, 9,283.44 and 5,777.31

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Solution

The fourth proportional to 6,725.33, 9,283.44 and 5,777.31 is: 7,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.33 : 9,283.44 = 5,777.31 : x
  2. Step 2: Convert to fraction form
    6,725.33/9,283.44 = 5,777.31/x
  3. Step 3: Cross multiply
    6,725.33x = 9,283.44 × 5,777.31
  4. Step 4: Simplify right side
    6,725.33x = 53,633,367.22
  5. Step 5: Solve for x
    x = 53,633,367.22/6,725.33
  6. Step 6: Final answer
    x = 7,974.83

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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.