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Finding the Fourth Proportional to 6,776.80, 9,351.96 and 3,792.64

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Solution

The fourth proportional to 6,776.80, 9,351.96 and 3,792.64 is: 5,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.80 : 9,351.96 = 3,792.64 : x
  2. Step 2: Convert to fraction form
    6,776.80/9,351.96 = 3,792.64/x
  3. Step 3: Cross multiply
    6,776.80x = 9,351.96 × 3,792.64
  4. Step 4: Simplify right side
    6,776.80x = 35,468,617.57
  5. Step 5: Solve for x
    x = 35,468,617.57/6,776.80
  6. Step 6: Final answer
    x = 5,233.83

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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.