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Finding the Fourth Proportional to 12,241.09, 16,891.32 and 6,934.78

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Solution

The fourth proportional to 12,241.09, 16,891.32 and 6,934.78 is: 9,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.09 : 16,891.32 = 6,934.78 : x
  2. Step 2: Convert to fraction form
    12,241.09/16,891.32 = 6,934.78/x
  3. Step 3: Cross multiply
    12,241.09x = 16,891.32 × 6,934.78
  4. Step 4: Simplify right side
    12,241.09x = 117,137,588.11
  5. Step 5: Solve for x
    x = 117,137,588.11/12,241.09
  6. Step 6: Final answer
    x = 9,569.21

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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.