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Finding the Fourth Proportional to 9,223.26, 13,832.86 and 2,647.98

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Solution

The fourth proportional to 9,223.26, 13,832.86 and 2,647.98 is: 3,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.26 : 13,832.86 = 2,647.98 : x
  2. Step 2: Convert to fraction form
    9,223.26/13,832.86 = 2,647.98/x
  3. Step 3: Cross multiply
    9,223.26x = 13,832.86 × 2,647.98
  4. Step 4: Simplify right side
    9,223.26x = 36,629,136.62
  5. Step 5: Solve for x
    x = 36,629,136.62/9,223.26
  6. Step 6: Final answer
    x = 3,971.39

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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.