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Finding the Fourth Proportional to 6,267.57, 9,401.40 and 2,567.22

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Solution

The fourth proportional to 6,267.57, 9,401.40 and 2,567.22 is: 3,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.57 : 9,401.40 = 2,567.22 : x
  2. Step 2: Convert to fraction form
    6,267.57/9,401.40 = 2,567.22/x
  3. Step 3: Cross multiply
    6,267.57x = 9,401.40 × 2,567.22
  4. Step 4: Simplify right side
    6,267.57x = 24,135,462.11
  5. Step 5: Solve for x
    x = 24,135,462.11/6,267.57
  6. Step 6: Final answer
    x = 3,850.85

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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.