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Finding the Fourth Proportional to 6,902.86, 9,525.96 and 3,759.04

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Solution

The fourth proportional to 6,902.86, 9,525.96 and 3,759.04 is: 5,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.86 : 9,525.96 = 3,759.04 : x
  2. Step 2: Convert to fraction form
    6,902.86/9,525.96 = 3,759.04/x
  3. Step 3: Cross multiply
    6,902.86x = 9,525.96 × 3,759.04
  4. Step 4: Simplify right side
    6,902.86x = 35,808,464.68
  5. Step 5: Solve for x
    x = 35,808,464.68/6,902.86
  6. Step 6: Final answer
    x = 5,187.48

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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.