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Finding the Fourth Proportional to 6,912.09, 9,538.56 and 4,222.38

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Solution

The fourth proportional to 6,912.09, 9,538.56 and 4,222.38 is: 5,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.09 : 9,538.56 = 4,222.38 : x
  2. Step 2: Convert to fraction form
    6,912.09/9,538.56 = 4,222.38/x
  3. Step 3: Cross multiply
    6,912.09x = 9,538.56 × 4,222.38
  4. Step 4: Simplify right side
    6,912.09x = 40,275,424.97
  5. Step 5: Solve for x
    x = 40,275,424.97/6,912.09
  6. Step 6: Final answer
    x = 5,826.81

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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.