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Finding the Fourth Proportional to 9,117.22, 13,661.24 and 8,242.42

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Solution

The fourth proportional to 9,117.22, 13,661.24 and 8,242.42 is: 12,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.22 : 13,661.24 = 8,242.42 : x
  2. Step 2: Convert to fraction form
    9,117.22/13,661.24 = 8,242.42/x
  3. Step 3: Cross multiply
    9,117.22x = 13,661.24 × 8,242.42
  4. Step 4: Simplify right side
    9,117.22x = 112,601,609.49
  5. Step 5: Solve for x
    x = 112,601,609.49/9,117.22
  6. Step 6: Final answer
    x = 12,350.44

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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.