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Finding the Fourth Proportional to 9,469.72, 13,061.46 and 8,208.52

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Solution

The fourth proportional to 9,469.72, 13,061.46 and 8,208.52 is: 11,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.72 : 13,061.46 = 8,208.52 : x
  2. Step 2: Convert to fraction form
    9,469.72/13,061.46 = 8,208.52/x
  3. Step 3: Cross multiply
    9,469.72x = 13,061.46 × 8,208.52
  4. Step 4: Simplify right side
    9,469.72x = 107,215,255.64
  5. Step 5: Solve for x
    x = 107,215,255.64/9,469.72
  6. Step 6: Final answer
    x = 11,321.90

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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.