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Finding the Fourth Proportional to 6,532.72, 9,795.04 and 2,149

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Solution

The fourth proportional to 6,532.72, 9,795.04 and 2,149 is: 3,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.72 : 9,795.04 = 2,149 : x
  2. Step 2: Convert to fraction form
    6,532.72/9,795.04 = 2,149/x
  3. Step 3: Cross multiply
    6,532.72x = 9,795.04 × 2,149
  4. Step 4: Simplify right side
    6,532.72x = 21,049,540.96
  5. Step 5: Solve for x
    x = 21,049,540.96/6,532.72
  6. Step 6: Final answer
    x = 3,222.17

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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.