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Finding the Fourth Proportional to 6,776.63, 9,351.96 and 3,792.42

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Solution

The fourth proportional to 6,776.63, 9,351.96 and 3,792.42 is: 5,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.63 : 9,351.96 = 3,792.42 : x
  2. Step 2: Convert to fraction form
    6,776.63/9,351.96 = 3,792.42/x
  3. Step 3: Cross multiply
    6,776.63x = 9,351.96 × 3,792.42
  4. Step 4: Simplify right side
    6,776.63x = 35,466,545.92
  5. Step 5: Solve for x
    x = 35,466,545.92/6,776.63
  6. Step 6: Final answer
    x = 5,233.66

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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.