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Finding the Fourth Proportional to 6,912.96, 9,539.92 and 4,118.56

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Solution

The fourth proportional to 6,912.96, 9,539.92 and 4,118.56 is: 5,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.96 : 9,539.92 = 4,118.56 : x
  2. Step 2: Convert to fraction form
    6,912.96/9,539.92 = 4,118.56/x
  3. Step 3: Cross multiply
    6,912.96x = 9,539.92 × 4,118.56
  4. Step 4: Simplify right side
    6,912.96x = 39,290,732.92
  5. Step 5: Solve for x
    x = 39,290,732.92/6,912.96
  6. Step 6: Final answer
    x = 5,683.63

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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.