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Finding the Fourth Proportional to 9,190.26, 13,791.57 and 9,156.44

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Solution

The fourth proportional to 9,190.26, 13,791.57 and 9,156.44 is: 13,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.26 : 13,791.57 = 9,156.44 : x
  2. Step 2: Convert to fraction form
    9,190.26/13,791.57 = 9,156.44/x
  3. Step 3: Cross multiply
    9,190.26x = 13,791.57 × 9,156.44
  4. Step 4: Simplify right side
    9,190.26x = 126,281,683.35
  5. Step 5: Solve for x
    x = 126,281,683.35/9,190.26
  6. Step 6: Final answer
    x = 13,740.82

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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.