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Finding the Fourth Proportional to 9,205.90, 12,704.46 and 5,226.88

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Solution

The fourth proportional to 9,205.90, 12,704.46 and 5,226.88 is: 7,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.90 : 12,704.46 = 5,226.88 : x
  2. Step 2: Convert to fraction form
    9,205.90/12,704.46 = 5,226.88/x
  3. Step 3: Cross multiply
    9,205.90x = 12,704.46 × 5,226.88
  4. Step 4: Simplify right side
    9,205.90x = 66,404,687.88
  5. Step 5: Solve for x
    x = 66,404,687.88/9,205.90
  6. Step 6: Final answer
    x = 7,213.27

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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.