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Finding the Fourth Proportional to 12,186.63, 16,817.13 and 6,809.22

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Solution

The fourth proportional to 12,186.63, 16,817.13 and 6,809.22 is: 9,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.63 : 16,817.13 = 6,809.22 : x
  2. Step 2: Convert to fraction form
    12,186.63/16,817.13 = 6,809.22/x
  3. Step 3: Cross multiply
    12,186.63x = 16,817.13 × 6,809.22
  4. Step 4: Simplify right side
    12,186.63x = 114,511,537.94
  5. Step 5: Solve for x
    x = 114,511,537.94/12,186.63
  6. Step 6: Final answer
    x = 9,396.49

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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.