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Finding the Fourth Proportional to 9,129.58, 13,694.37 and 3,286.04

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Solution

The fourth proportional to 9,129.58, 13,694.37 and 3,286.04 is: 4,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.58 : 13,694.37 = 3,286.04 : x
  2. Step 2: Convert to fraction form
    9,129.58/13,694.37 = 3,286.04/x
  3. Step 3: Cross multiply
    9,129.58x = 13,694.37 × 3,286.04
  4. Step 4: Simplify right side
    9,129.58x = 45,000,247.59
  5. Step 5: Solve for x
    x = 45,000,247.59/9,129.58
  6. Step 6: Final answer
    x = 4,929.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.