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Finding the Fourth Proportional to 6,777.66, 9,352.73 and 3,792.98

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Solution

The fourth proportional to 6,777.66, 9,352.73 and 3,792.98 is: 5,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.66 : 9,352.73 = 3,792.98 : x
  2. Step 2: Convert to fraction form
    6,777.66/9,352.73 = 3,792.98/x
  3. Step 3: Cross multiply
    6,777.66x = 9,352.73 × 3,792.98
  4. Step 4: Simplify right side
    6,777.66x = 35,474,717.84
  5. Step 5: Solve for x
    x = 35,474,717.84/6,777.66
  6. Step 6: Final answer
    x = 5,234.07

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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.