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Finding the Fourth Proportional to 6,912.88, 9,539.76 and 3,769.06

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Solution

The fourth proportional to 6,912.88, 9,539.76 and 3,769.06 is: 5,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.88 : 9,539.76 = 3,769.06 : x
  2. Step 2: Convert to fraction form
    6,912.88/9,539.76 = 3,769.06/x
  3. Step 3: Cross multiply
    6,912.88x = 9,539.76 × 3,769.06
  4. Step 4: Simplify right side
    6,912.88x = 35,955,927.83
  5. Step 5: Solve for x
    x = 35,955,927.83/6,912.88
  6. Step 6: Final answer
    x = 5,201.29

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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.