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Finding the Fourth Proportional to 9,998.12, 13,797.34 and 5,522.16

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Solution

The fourth proportional to 9,998.12, 13,797.34 and 5,522.16 is: 7,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.12 : 13,797.34 = 5,522.16 : x
  2. Step 2: Convert to fraction form
    9,998.12/13,797.34 = 5,522.16/x
  3. Step 3: Cross multiply
    9,998.12x = 13,797.34 × 5,522.16
  4. Step 4: Simplify right side
    9,998.12x = 76,191,119.05
  5. Step 5: Solve for x
    x = 76,191,119.05/9,998.12
  6. Step 6: Final answer
    x = 7,620.54

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