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Finding the Fourth Proportional to 9,469.92, 13,052.16 and 7,107.96

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Solution

The fourth proportional to 9,469.92, 13,052.16 and 7,107.96 is: 9,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.92 : 13,052.16 = 7,107.96 : x
  2. Step 2: Convert to fraction form
    9,469.92/13,052.16 = 7,107.96/x
  3. Step 3: Cross multiply
    9,469.92x = 13,052.16 × 7,107.96
  4. Step 4: Simplify right side
    9,469.92x = 92,774,231.19
  5. Step 5: Solve for x
    x = 92,774,231.19/9,469.92
  6. Step 6: Final answer
    x = 9,796.73

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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.