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Finding the Fourth Proportional to 12,034.17, 16,607.97 and 6,729.48

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Solution

The fourth proportional to 12,034.17, 16,607.97 and 6,729.48 is: 9,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.17 : 16,607.97 = 6,729.48 : x
  2. Step 2: Convert to fraction form
    12,034.17/16,607.97 = 6,729.48/x
  3. Step 3: Cross multiply
    12,034.17x = 16,607.97 × 6,729.48
  4. Step 4: Simplify right side
    12,034.17x = 111,763,001.96
  5. Step 5: Solve for x
    x = 111,763,001.96/12,034.17
  6. Step 6: Final answer
    x = 9,287.14

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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.