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Finding the Fourth Proportional to 6,654.39, 9,976.57 and 4,021.33

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Solution

The fourth proportional to 6,654.39, 9,976.57 and 4,021.33 is: 6,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.39 : 9,976.57 = 4,021.33 : x
  2. Step 2: Convert to fraction form
    6,654.39/9,976.57 = 4,021.33/x
  3. Step 3: Cross multiply
    6,654.39x = 9,976.57 × 4,021.33
  4. Step 4: Simplify right side
    6,654.39x = 40,119,060.13
  5. Step 5: Solve for x
    x = 40,119,060.13/6,654.39
  6. Step 6: Final answer
    x = 6,028.97

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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.