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Finding the Fourth Proportional to 9,198.79, 13,796.79 and 3,355.41

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Solution

The fourth proportional to 9,198.79, 13,796.79 and 3,355.41 is: 5,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.79 : 13,796.79 = 3,355.41 : x
  2. Step 2: Convert to fraction form
    9,198.79/13,796.79 = 3,355.41/x
  3. Step 3: Cross multiply
    9,198.79x = 13,796.79 × 3,355.41
  4. Step 4: Simplify right side
    9,198.79x = 46,293,887.13
  5. Step 5: Solve for x
    x = 46,293,887.13/9,198.79
  6. Step 6: Final answer
    x = 5,032.61

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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.