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Finding the Fourth Proportional to 9,034.14, 13,553.88 and 3,840.42

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Solution

The fourth proportional to 9,034.14, 13,553.88 and 3,840.42 is: 5,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.14 : 13,553.88 = 3,840.42 : x
  2. Step 2: Convert to fraction form
    9,034.14/13,553.88 = 3,840.42/x
  3. Step 3: Cross multiply
    9,034.14x = 13,553.88 × 3,840.42
  4. Step 4: Simplify right side
    9,034.14x = 52,052,591.83
  5. Step 5: Solve for x
    x = 52,052,591.83/9,034.14
  6. Step 6: Final answer
    x = 5,761.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.