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Finding the Fourth Proportional to 9,198.34, 13,799.73 and 2,958.93

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Solution

The fourth proportional to 9,198.34, 13,799.73 and 2,958.93 is: 4,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.34 : 13,799.73 = 2,958.93 : x
  2. Step 2: Convert to fraction form
    9,198.34/13,799.73 = 2,958.93/x
  3. Step 3: Cross multiply
    9,198.34x = 13,799.73 × 2,958.93
  4. Step 4: Simplify right side
    9,198.34x = 40,832,435.09
  5. Step 5: Solve for x
    x = 40,832,435.09/9,198.34
  6. Step 6: Final answer
    x = 4,439.11

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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.