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Finding the Fourth Proportional to 6,337.14, 8,744.89 and 3,504.34

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Solution

The fourth proportional to 6,337.14, 8,744.89 and 3,504.34 is: 4,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.14 : 8,744.89 = 3,504.34 : x
  2. Step 2: Convert to fraction form
    6,337.14/8,744.89 = 3,504.34/x
  3. Step 3: Cross multiply
    6,337.14x = 8,744.89 × 3,504.34
  4. Step 4: Simplify right side
    6,337.14x = 30,645,067.82
  5. Step 5: Solve for x
    x = 30,645,067.82/6,337.14
  6. Step 6: Final answer
    x = 4,835.79

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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.