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Finding the Fourth Proportional to 9,190.26, 13,761.09 and 5,439.15

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Solution

The fourth proportional to 9,190.26, 13,761.09 and 5,439.15 is: 8,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.26 : 13,761.09 = 5,439.15 : x
  2. Step 2: Convert to fraction form
    9,190.26/13,761.09 = 5,439.15/x
  3. Step 3: Cross multiply
    9,190.26x = 13,761.09 × 5,439.15
  4. Step 4: Simplify right side
    9,190.26x = 74,848,632.67
  5. Step 5: Solve for x
    x = 74,848,632.67/9,190.26
  6. Step 6: Final answer
    x = 8,144.34

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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.