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Finding the Fourth Proportional to 6,776.69, 9,352.28 and 3,792.80

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Solution

The fourth proportional to 6,776.69, 9,352.28 and 3,792.80 is: 5,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.69 : 9,352.28 = 3,792.80 : x
  2. Step 2: Convert to fraction form
    6,776.69/9,352.28 = 3,792.80/x
  3. Step 3: Cross multiply
    6,776.69x = 9,352.28 × 3,792.80
  4. Step 4: Simplify right side
    6,776.69x = 35,471,360.45
  5. Step 5: Solve for x
    x = 35,471,360.45/6,776.69
  6. Step 6: Final answer
    x = 5,234.32

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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.