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Finding the Fourth Proportional to 6,754.61, 9,321.33 and 3,770.42

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Solution

The fourth proportional to 6,754.61, 9,321.33 and 3,770.42 is: 5,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.61 : 9,321.33 = 3,770.42 : x
  2. Step 2: Convert to fraction form
    6,754.61/9,321.33 = 3,770.42/x
  3. Step 3: Cross multiply
    6,754.61x = 9,321.33 × 3,770.42
  4. Step 4: Simplify right side
    6,754.61x = 35,145,282.45
  5. Step 5: Solve for x
    x = 35,145,282.45/6,754.61
  6. Step 6: Final answer
    x = 5,203.16

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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.