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Finding the Fourth Proportional to 6,203.38, 9,306.44 and 3,434.09

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Solution

The fourth proportional to 6,203.38, 9,306.44 and 3,434.09 is: 5,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.38 : 9,306.44 = 3,434.09 : x
  2. Step 2: Convert to fraction form
    6,203.38/9,306.44 = 3,434.09/x
  3. Step 3: Cross multiply
    6,203.38x = 9,306.44 × 3,434.09
  4. Step 4: Simplify right side
    6,203.38x = 31,959,135.37
  5. Step 5: Solve for x
    x = 31,959,135.37/6,203.38
  6. Step 6: Final answer
    x = 5,151.89

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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.