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Finding the Fourth Proportional to 6,546.30, 9,044.10 and 6,021.42

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Solution

The fourth proportional to 6,546.30, 9,044.10 and 6,021.42 is: 8,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.30 : 9,044.10 = 6,021.42 : x
  2. Step 2: Convert to fraction form
    6,546.30/9,044.10 = 6,021.42/x
  3. Step 3: Cross multiply
    6,546.30x = 9,044.10 × 6,021.42
  4. Step 4: Simplify right side
    6,546.30x = 54,458,324.62
  5. Step 5: Solve for x
    x = 54,458,324.62/6,546.30
  6. Step 6: Final answer
    x = 8,318.95

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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.