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Finding the Fourth Proportional to 6,755.76, 9,322.83 and 3,923.01

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Solution

The fourth proportional to 6,755.76, 9,322.83 and 3,923.01 is: 5,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.76 : 9,322.83 = 3,923.01 : x
  2. Step 2: Convert to fraction form
    6,755.76/9,322.83 = 3,923.01/x
  3. Step 3: Cross multiply
    6,755.76x = 9,322.83 × 3,923.01
  4. Step 4: Simplify right side
    6,755.76x = 36,573,555.32
  5. Step 5: Solve for x
    x = 36,573,555.32/6,755.76
  6. Step 6: Final answer
    x = 5,413.68

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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.