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Finding the Fourth Proportional to 6,089.76, 9,139.04 and 2,194.56

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Solution

The fourth proportional to 6,089.76, 9,139.04 and 2,194.56 is: 3,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.76 : 9,139.04 = 2,194.56 : x
  2. Step 2: Convert to fraction form
    6,089.76/9,139.04 = 2,194.56/x
  3. Step 3: Cross multiply
    6,089.76x = 9,139.04 × 2,194.56
  4. Step 4: Simplify right side
    6,089.76x = 20,056,171.62
  5. Step 5: Solve for x
    x = 20,056,171.62/6,089.76
  6. Step 6: Final answer
    x = 3,293.43

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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.