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Finding the Fourth Proportional to 6,089.52, 9,134.34 and 2,193.96

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Solution

The fourth proportional to 6,089.52, 9,134.34 and 2,193.96 is: 3,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.52 : 9,134.34 = 2,193.96 : x
  2. Step 2: Convert to fraction form
    6,089.52/9,134.34 = 2,193.96/x
  3. Step 3: Cross multiply
    6,089.52x = 9,134.34 × 2,193.96
  4. Step 4: Simplify right side
    6,089.52x = 20,040,376.59
  5. Step 5: Solve for x
    x = 20,040,376.59/6,089.52
  6. Step 6: Final answer
    x = 3,290.96

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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.