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Finding the Fourth Proportional to 6,205.55, 9,306.34 and 2,044.62

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Solution

The fourth proportional to 6,205.55, 9,306.34 and 2,044.62 is: 3,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.55 : 9,306.34 = 2,044.62 : x
  2. Step 2: Convert to fraction form
    6,205.55/9,306.34 = 2,044.62/x
  3. Step 3: Cross multiply
    6,205.55x = 9,306.34 × 2,044.62
  4. Step 4: Simplify right side
    6,205.55x = 19,027,923.78
  5. Step 5: Solve for x
    x = 19,027,923.78/6,205.55
  6. Step 6: Final answer
    x = 3,066.28

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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.