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Finding the Fourth Proportional to 9,120.88, 12,589.21 and 5,942.90

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Solution

The fourth proportional to 9,120.88, 12,589.21 and 5,942.90 is: 8,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.88 : 12,589.21 = 5,942.90 : x
  2. Step 2: Convert to fraction form
    9,120.88/12,589.21 = 5,942.90/x
  3. Step 3: Cross multiply
    9,120.88x = 12,589.21 × 5,942.90
  4. Step 4: Simplify right side
    9,120.88x = 74,816,416.11
  5. Step 5: Solve for x
    x = 74,816,416.11/9,120.88
  6. Step 6: Final answer
    x = 8,202.76

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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.