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Finding the Fourth Proportional to 6,912.82, 9,538.73 and 4,080.31

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Solution

The fourth proportional to 6,912.82, 9,538.73 and 4,080.31 is: 5,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.82 : 9,538.73 = 4,080.31 : x
  2. Step 2: Convert to fraction form
    6,912.82/9,538.73 = 4,080.31/x
  3. Step 3: Cross multiply
    6,912.82x = 9,538.73 × 4,080.31
  4. Step 4: Simplify right side
    6,912.82x = 38,920,975.41
  5. Step 5: Solve for x
    x = 38,920,975.41/6,912.82
  6. Step 6: Final answer
    x = 5,630.26

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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.