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Finding the Fourth Proportional to 9,067.74, 13,602.24 and 2,493.24

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Solution

The fourth proportional to 9,067.74, 13,602.24 and 2,493.24 is: 3,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.74 : 13,602.24 = 2,493.24 : x
  2. Step 2: Convert to fraction form
    9,067.74/13,602.24 = 2,493.24/x
  3. Step 3: Cross multiply
    9,067.74x = 13,602.24 × 2,493.24
  4. Step 4: Simplify right side
    9,067.74x = 33,913,648.86
  5. Step 5: Solve for x
    x = 33,913,648.86/9,067.74
  6. Step 6: Final answer
    x = 3,740.03

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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.