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Finding the Fourth Proportional to 6,380.10, 9,546.09 and 5,732.64

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Solution

The fourth proportional to 6,380.10, 9,546.09 and 5,732.64 is: 8,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.10 : 9,546.09 = 5,732.64 : x
  2. Step 2: Convert to fraction form
    6,380.10/9,546.09 = 5,732.64/x
  3. Step 3: Cross multiply
    6,380.10x = 9,546.09 × 5,732.64
  4. Step 4: Simplify right side
    6,380.10x = 54,724,249.65
  5. Step 5: Solve for x
    x = 54,724,249.65/6,380.10
  6. Step 6: Final answer
    x = 8,577.34

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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.