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Finding the Fourth Proportional to 6,754.14, 9,320.90 and 3,770.56

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Solution

The fourth proportional to 6,754.14, 9,320.90 and 3,770.56 is: 5,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.14 : 9,320.90 = 3,770.56 : x
  2. Step 2: Convert to fraction form
    6,754.14/9,320.90 = 3,770.56/x
  3. Step 3: Cross multiply
    6,754.14x = 9,320.90 × 3,770.56
  4. Step 4: Simplify right side
    6,754.14x = 35,145,012.70
  5. Step 5: Solve for x
    x = 35,145,012.70/6,754.14
  6. Step 6: Final answer
    x = 5,203.48

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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.