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Finding the Fourth Proportional to 6,775.68, 9,351.33 and 3,792.66

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Solution

The fourth proportional to 6,775.68, 9,351.33 and 3,792.66 is: 5,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.68 : 9,351.33 = 3,792.66 : x
  2. Step 2: Convert to fraction form
    6,775.68/9,351.33 = 3,792.66/x
  3. Step 3: Cross multiply
    6,775.68x = 9,351.33 × 3,792.66
  4. Step 4: Simplify right side
    6,775.68x = 35,466,415.24
  5. Step 5: Solve for x
    x = 35,466,415.24/6,775.68
  6. Step 6: Final answer
    x = 5,234.37

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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.