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Finding the Fourth Proportional to 6,912.09, 9,538.74 and 3,768.30

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Solution

The fourth proportional to 6,912.09, 9,538.74 and 3,768.30 is: 5,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.09 : 9,538.74 = 3,768.30 : x
  2. Step 2: Convert to fraction form
    6,912.09/9,538.74 = 3,768.30/x
  3. Step 3: Cross multiply
    6,912.09x = 9,538.74 × 3,768.30
  4. Step 4: Simplify right side
    6,912.09x = 35,944,833.94
  5. Step 5: Solve for x
    x = 35,944,833.94/6,912.09
  6. Step 6: Final answer
    x = 5,200.28

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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.