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Finding the Fourth Proportional to 9,998.24, 13,793.04 and 6,460.16

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Solution

The fourth proportional to 9,998.24, 13,793.04 and 6,460.16 is: 8,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.24 : 13,793.04 = 6,460.16 : x
  2. Step 2: Convert to fraction form
    9,998.24/13,793.04 = 6,460.16/x
  3. Step 3: Cross multiply
    9,998.24x = 13,793.04 × 6,460.16
  4. Step 4: Simplify right side
    9,998.24x = 89,105,245.29
  5. Step 5: Solve for x
    x = 89,105,245.29/9,998.24
  6. Step 6: Final answer
    x = 8,912.09

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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.