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Finding the Fourth Proportional to 12,114.37, 16,717.78 and 6,809.23

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Solution

The fourth proportional to 12,114.37, 16,717.78 and 6,809.23 is: 9,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.37 : 16,717.78 = 6,809.23 : x
  2. Step 2: Convert to fraction form
    12,114.37/16,717.78 = 6,809.23/x
  3. Step 3: Cross multiply
    12,114.37x = 16,717.78 × 6,809.23
  4. Step 4: Simplify right side
    12,114.37x = 113,835,209.11
  5. Step 5: Solve for x
    x = 113,835,209.11/12,114.37
  6. Step 6: Final answer
    x = 9,396.71

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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.