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Finding the Fourth Proportional to 6,189.41, 9,286.47 and 3,725.97

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Solution

The fourth proportional to 6,189.41, 9,286.47 and 3,725.97 is: 5,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.41 : 9,286.47 = 3,725.97 : x
  2. Step 2: Convert to fraction form
    6,189.41/9,286.47 = 3,725.97/x
  3. Step 3: Cross multiply
    6,189.41x = 9,286.47 × 3,725.97
  4. Step 4: Simplify right side
    6,189.41x = 34,601,108.63
  5. Step 5: Solve for x
    x = 34,601,108.63/6,189.41
  6. Step 6: Final answer
    x = 5,590.38

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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.