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Finding the Fourth Proportional to 6,769.32, 9,344.70 and 3,975

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Solution

The fourth proportional to 6,769.32, 9,344.70 and 3,975 is: 5,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.32 : 9,344.70 = 3,975 : x
  2. Step 2: Convert to fraction form
    6,769.32/9,344.70 = 3,975/x
  3. Step 3: Cross multiply
    6,769.32x = 9,344.70 × 3,975
  4. Step 4: Simplify right side
    6,769.32x = 37,145,182.50
  5. Step 5: Solve for x
    x = 37,145,182.50/6,769.32
  6. Step 6: Final answer
    x = 5,487.28

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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.