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Finding the Fourth Proportional to 9,205.58, 12,704.06 and 5,227.07

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Solution

The fourth proportional to 9,205.58, 12,704.06 and 5,227.07 is: 7,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.58 : 12,704.06 = 5,227.07 : x
  2. Step 2: Convert to fraction form
    9,205.58/12,704.06 = 5,227.07/x
  3. Step 3: Cross multiply
    9,205.58x = 12,704.06 × 5,227.07
  4. Step 4: Simplify right side
    9,205.58x = 66,404,947.38
  5. Step 5: Solve for x
    x = 66,404,947.38/9,205.58
  6. Step 6: Final answer
    x = 7,213.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.