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Finding the Fourth Proportional to 6,755.14, 9,321.93 and 3,770.80

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Solution

The fourth proportional to 6,755.14, 9,321.93 and 3,770.80 is: 5,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.14 : 9,321.93 = 3,770.80 : x
  2. Step 2: Convert to fraction form
    6,755.14/9,321.93 = 3,770.80/x
  3. Step 3: Cross multiply
    6,755.14x = 9,321.93 × 3,770.80
  4. Step 4: Simplify right side
    6,755.14x = 35,151,133.64
  5. Step 5: Solve for x
    x = 35,151,133.64/6,755.14
  6. Step 6: Final answer
    x = 5,203.61

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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.