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Finding the Fourth Proportional to 9,193.62, 13,791.94 and 3,646.99

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Solution

The fourth proportional to 9,193.62, 13,791.94 and 3,646.99 is: 5,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.62 : 13,791.94 = 3,646.99 : x
  2. Step 2: Convert to fraction form
    9,193.62/13,791.94 = 3,646.99/x
  3. Step 3: Cross multiply
    9,193.62x = 13,791.94 × 3,646.99
  4. Step 4: Simplify right side
    9,193.62x = 50,299,067.26
  5. Step 5: Solve for x
    x = 50,299,067.26/9,193.62
  6. Step 6: Final answer
    x = 5,471.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.