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Finding the Fourth Proportional to 9,998.33, 13,797.61 and 5,522.38

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Solution

The fourth proportional to 9,998.33, 13,797.61 and 5,522.38 is: 7,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.33 : 13,797.61 = 5,522.38 : x
  2. Step 2: Convert to fraction form
    9,998.33/13,797.61 = 5,522.38/x
  3. Step 3: Cross multiply
    9,998.33x = 13,797.61 × 5,522.38
  4. Step 4: Simplify right side
    9,998.33x = 76,195,597.21
  5. Step 5: Solve for x
    x = 76,195,597.21/9,998.33
  6. Step 6: Final answer
    x = 7,620.84

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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.