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Finding the Fourth Proportional to 12,034.83, 16,609.61 and 6,729.94

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Solution

The fourth proportional to 12,034.83, 16,609.61 and 6,729.94 is: 9,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.83 : 16,609.61 = 6,729.94 : x
  2. Step 2: Convert to fraction form
    12,034.83/16,609.61 = 6,729.94/x
  3. Step 3: Cross multiply
    12,034.83x = 16,609.61 × 6,729.94
  4. Step 4: Simplify right side
    12,034.83x = 111,781,654.02
  5. Step 5: Solve for x
    x = 111,781,654.02/12,034.83
  6. Step 6: Final answer
    x = 9,288.18

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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.