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Finding the Fourth Proportional to 9,205.79, 12,704.33 and 5,226.80

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Solution

The fourth proportional to 9,205.79, 12,704.33 and 5,226.80 is: 7,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.79 : 12,704.33 = 5,226.80 : x
  2. Step 2: Convert to fraction form
    9,205.79/12,704.33 = 5,226.80/x
  3. Step 3: Cross multiply
    9,205.79x = 12,704.33 × 5,226.80
  4. Step 4: Simplify right side
    9,205.79x = 66,402,965.91
  5. Step 5: Solve for x
    x = 66,402,965.91/9,205.79
  6. Step 6: Final answer
    x = 7,213.17

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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.