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Finding the Fourth Proportional to 12,204.46, 16,839.46 and 6,897.34

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Solution

The fourth proportional to 12,204.46, 16,839.46 and 6,897.34 is: 9,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.46 : 16,839.46 = 6,897.34 : x
  2. Step 2: Convert to fraction form
    12,204.46/16,839.46 = 6,897.34/x
  3. Step 3: Cross multiply
    12,204.46x = 16,839.46 × 6,897.34
  4. Step 4: Simplify right side
    12,204.46x = 116,147,481.04
  5. Step 5: Solve for x
    x = 116,147,481.04/12,204.46
  6. Step 6: Final answer
    x = 9,516.81

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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.