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Finding the Fourth Proportional to 9,015.97, 12,435.78 and 8,272.39

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Solution

The fourth proportional to 9,015.97, 12,435.78 and 8,272.39 is: 11,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.97 : 12,435.78 = 8,272.39 : x
  2. Step 2: Convert to fraction form
    9,015.97/12,435.78 = 8,272.39/x
  3. Step 3: Cross multiply
    9,015.97x = 12,435.78 × 8,272.39
  4. Step 4: Simplify right side
    9,015.97x = 102,873,622.11
  5. Step 5: Solve for x
    x = 102,873,622.11/9,015.97
  6. Step 6: Final answer
    x = 11,410.16

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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.