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Finding the Fourth Proportional to 9,067.82, 12,513.66 and 5,924

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Solution

The fourth proportional to 9,067.82, 12,513.66 and 5,924 is: 8,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.82 : 12,513.66 = 5,924 : x
  2. Step 2: Convert to fraction form
    9,067.82/12,513.66 = 5,924/x
  3. Step 3: Cross multiply
    9,067.82x = 12,513.66 × 5,924
  4. Step 4: Simplify right side
    9,067.82x = 74,130,921.84
  5. Step 5: Solve for x
    x = 74,130,921.84/9,067.82
  6. Step 6: Final answer
    x = 8,175.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.