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Finding the Fourth Proportional to 6,287.43, 9,433.44 and 2,589.92

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Solution

The fourth proportional to 6,287.43, 9,433.44 and 2,589.92 is: 3,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.43 : 9,433.44 = 2,589.92 : x
  2. Step 2: Convert to fraction form
    6,287.43/9,433.44 = 2,589.92/x
  3. Step 3: Cross multiply
    6,287.43x = 9,433.44 × 2,589.92
  4. Step 4: Simplify right side
    6,287.43x = 24,431,807.76
  5. Step 5: Solve for x
    x = 24,431,807.76/6,287.43
  6. Step 6: Final answer
    x = 3,885.82

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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.