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Finding the Fourth Proportional to 9,543.56, 13,163.46 and 9,222.44

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Solution

The fourth proportional to 9,543.56, 13,163.46 and 9,222.44 is: 12,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.56 : 13,163.46 = 9,222.44 : x
  2. Step 2: Convert to fraction form
    9,543.56/13,163.46 = 9,222.44/x
  3. Step 3: Cross multiply
    9,543.56x = 13,163.46 × 9,222.44
  4. Step 4: Simplify right side
    9,543.56x = 121,399,220.04
  5. Step 5: Solve for x
    x = 121,399,220.04/9,543.56
  6. Step 6: Final answer
    x = 12,720.54

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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.