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Finding the Fourth Proportional to 6,464.63, 9,696.85 and 2,568.94

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Solution

The fourth proportional to 6,464.63, 9,696.85 and 2,568.94 is: 3,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.63 : 9,696.85 = 2,568.94 : x
  2. Step 2: Convert to fraction form
    6,464.63/9,696.85 = 2,568.94/x
  3. Step 3: Cross multiply
    6,464.63x = 9,696.85 × 2,568.94
  4. Step 4: Simplify right side
    6,464.63x = 24,910,595.17
  5. Step 5: Solve for x
    x = 24,910,595.17/6,464.63
  6. Step 6: Final answer
    x = 3,853.37

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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.