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Finding the Fourth Proportional to 9,206.48, 12,704.49 and 5,227.07

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Solution

The fourth proportional to 9,206.48, 12,704.49 and 5,227.07 is: 7,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.48 : 12,704.49 = 5,227.07 : x
  2. Step 2: Convert to fraction form
    9,206.48/12,704.49 = 5,227.07/x
  3. Step 3: Cross multiply
    9,206.48x = 12,704.49 × 5,227.07
  4. Step 4: Simplify right side
    9,206.48x = 66,407,258.54
  5. Step 5: Solve for x
    x = 66,407,258.54/9,206.48
  6. Step 6: Final answer
    x = 7,213.10

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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.