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Finding the Fourth Proportional to 6,387.46, 9,567.11 and 3,914.73

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Solution

The fourth proportional to 6,387.46, 9,567.11 and 3,914.73 is: 5,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.46 : 9,567.11 = 3,914.73 : x
  2. Step 2: Convert to fraction form
    6,387.46/9,567.11 = 3,914.73/x
  3. Step 3: Cross multiply
    6,387.46x = 9,567.11 × 3,914.73
  4. Step 4: Simplify right side
    6,387.46x = 37,452,662.32
  5. Step 5: Solve for x
    x = 37,452,662.32/6,387.46
  6. Step 6: Final answer
    x = 5,863.47

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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.