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Finding the Fourth Proportional to 6,244.46, 9,367.59 and 2,546.90

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Solution

The fourth proportional to 6,244.46, 9,367.59 and 2,546.90 is: 3,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.46 : 9,367.59 = 2,546.90 : x
  2. Step 2: Convert to fraction form
    6,244.46/9,367.59 = 2,546.90/x
  3. Step 3: Cross multiply
    6,244.46x = 9,367.59 × 2,546.90
  4. Step 4: Simplify right side
    6,244.46x = 23,858,314.97
  5. Step 5: Solve for x
    x = 23,858,314.97/6,244.46
  6. Step 6: Final answer
    x = 3,820.72

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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.