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Finding the Fourth Proportional to 6,654.20, 9,989.81 and 4,199.30

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Solution

The fourth proportional to 6,654.20, 9,989.81 and 4,199.30 is: 6,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.20 : 9,989.81 = 4,199.30 : x
  2. Step 2: Convert to fraction form
    6,654.20/9,989.81 = 4,199.30/x
  3. Step 3: Cross multiply
    6,654.20x = 9,989.81 × 4,199.30
  4. Step 4: Simplify right side
    6,654.20x = 41,950,138.19
  5. Step 5: Solve for x
    x = 41,950,138.19/6,654.20
  6. Step 6: Final answer
    x = 6,304.31

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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.