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Finding the Fourth Proportional to 12,098.09, 16,694.93 and 6,793.13

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Solution

The fourth proportional to 12,098.09, 16,694.93 and 6,793.13 is: 9,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.09 : 16,694.93 = 6,793.13 : x
  2. Step 2: Convert to fraction form
    12,098.09/16,694.93 = 6,793.13/x
  3. Step 3: Cross multiply
    12,098.09x = 16,694.93 × 6,793.13
  4. Step 4: Simplify right side
    12,098.09x = 113,410,846.81
  5. Step 5: Solve for x
    x = 113,410,846.81/12,098.09
  6. Step 6: Final answer
    x = 9,374.28

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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.