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Finding the Fourth Proportional to 9,141.55, 13,712.83 and 2,567.22

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Solution

The fourth proportional to 9,141.55, 13,712.83 and 2,567.22 is: 3,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.55 : 13,712.83 = 2,567.22 : x
  2. Step 2: Convert to fraction form
    9,141.55/13,712.83 = 2,567.22/x
  3. Step 3: Cross multiply
    9,141.55x = 13,712.83 × 2,567.22
  4. Step 4: Simplify right side
    9,141.55x = 35,203,857.85
  5. Step 5: Solve for x
    x = 35,203,857.85/9,141.55
  6. Step 6: Final answer
    x = 3,850.97

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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.