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Finding the Fourth Proportional to 6,776.50, 9,351.30 and 3,792.62

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Solution

The fourth proportional to 6,776.50, 9,351.30 and 3,792.62 is: 5,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.50 : 9,351.30 = 3,792.62 : x
  2. Step 2: Convert to fraction form
    6,776.50/9,351.30 = 3,792.62/x
  3. Step 3: Cross multiply
    6,776.50x = 9,351.30 × 3,792.62
  4. Step 4: Simplify right side
    6,776.50x = 35,465,927.41
  5. Step 5: Solve for x
    x = 35,465,927.41/6,776.50
  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.