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Finding the Fourth Proportional to 9,998.96, 13,801.73 and 6,462.09

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Solution

The fourth proportional to 9,998.96, 13,801.73 and 6,462.09 is: 8,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.96 : 13,801.73 = 6,462.09 : x
  2. Step 2: Convert to fraction form
    9,998.96/13,801.73 = 6,462.09/x
  3. Step 3: Cross multiply
    9,998.96x = 13,801.73 × 6,462.09
  4. Step 4: Simplify right side
    9,998.96x = 89,187,989.11
  5. Step 5: Solve for x
    x = 89,187,989.11/9,998.96
  6. Step 6: Final answer
    x = 8,919.73

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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.