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Finding the Fourth Proportional to 6,229.32, 9,344.01 and 1,846.86

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Solution

The fourth proportional to 6,229.32, 9,344.01 and 1,846.86 is: 2,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.32 : 9,344.01 = 1,846.86 : x
  2. Step 2: Convert to fraction form
    6,229.32/9,344.01 = 1,846.86/x
  3. Step 3: Cross multiply
    6,229.32x = 9,344.01 × 1,846.86
  4. Step 4: Simplify right side
    6,229.32x = 17,257,078.31
  5. Step 5: Solve for x
    x = 17,257,078.31/6,229.32
  6. Step 6: Final answer
    x = 2,770.30

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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.