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Finding the Fourth Proportional to 9,206.73, 12,704.85 and 5,227.34

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Solution

The fourth proportional to 9,206.73, 12,704.85 and 5,227.34 is: 7,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.73 : 12,704.85 = 5,227.34 : x
  2. Step 2: Convert to fraction form
    9,206.73/12,704.85 = 5,227.34/x
  3. Step 3: Cross multiply
    9,206.73x = 12,704.85 × 5,227.34
  4. Step 4: Simplify right side
    9,206.73x = 66,412,507.07
  5. Step 5: Solve for x
    x = 66,412,507.07/9,206.73
  6. Step 6: Final answer
    x = 7,213.47

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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.