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Finding the Fourth Proportional to 6,204.05, 9,306.09 and 1,524.09

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Solution

The fourth proportional to 6,204.05, 9,306.09 and 1,524.09 is: 2,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.05 : 9,306.09 = 1,524.09 : x
  2. Step 2: Convert to fraction form
    6,204.05/9,306.09 = 1,524.09/x
  3. Step 3: Cross multiply
    6,204.05x = 9,306.09 × 1,524.09
  4. Step 4: Simplify right side
    6,204.05x = 14,183,318.71
  5. Step 5: Solve for x
    x = 14,183,318.71/6,204.05
  6. Step 6: Final answer
    x = 2,286.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.