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Finding the Fourth Proportional to 12,287.09, 16,944.94 and 9,108.31

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Solution

The fourth proportional to 12,287.09, 16,944.94 and 9,108.31 is: 12,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.09 : 16,944.94 = 9,108.31 : x
  2. Step 2: Convert to fraction form
    12,287.09/16,944.94 = 9,108.31/x
  3. Step 3: Cross multiply
    12,287.09x = 16,944.94 × 9,108.31
  4. Step 4: Simplify right side
    12,287.09x = 154,339,766.45
  5. Step 5: Solve for x
    x = 154,339,766.45/12,287.09
  6. Step 6: Final answer
    x = 12,561.13

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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.