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Finding the Fourth Proportional to 9,467.91, 14,201.87 and 2,542.59

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Solution

The fourth proportional to 9,467.91, 14,201.87 and 2,542.59 is: 3,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.91 : 14,201.87 = 2,542.59 : x
  2. Step 2: Convert to fraction form
    9,467.91/14,201.87 = 2,542.59/x
  3. Step 3: Cross multiply
    9,467.91x = 14,201.87 × 2,542.59
  4. Step 4: Simplify right side
    9,467.91x = 36,109,519.93
  5. Step 5: Solve for x
    x = 36,109,519.93/9,467.91
  6. Step 6: Final answer
    x = 3,813.89

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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.