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Finding the Fourth Proportional to 6,461.32, 9,694.41 and 2,568.46

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Solution

The fourth proportional to 6,461.32, 9,694.41 and 2,568.46 is: 3,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.32 : 9,694.41 = 2,568.46 : x
  2. Step 2: Convert to fraction form
    6,461.32/9,694.41 = 2,568.46/x
  3. Step 3: Cross multiply
    6,461.32x = 9,694.41 × 2,568.46
  4. Step 4: Simplify right side
    6,461.32x = 24,899,704.31
  5. Step 5: Solve for x
    x = 24,899,704.31/6,461.32
  6. Step 6: Final answer
    x = 3,853.66

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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.