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Finding the Fourth Proportional to 6,464.42, 9,696.66 and 2,568.84

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Solution

The fourth proportional to 6,464.42, 9,696.66 and 2,568.84 is: 3,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.42 : 9,696.66 = 2,568.84 : x
  2. Step 2: Convert to fraction form
    6,464.42/9,696.66 = 2,568.84/x
  3. Step 3: Cross multiply
    6,464.42x = 9,696.66 × 2,568.84
  4. Step 4: Simplify right side
    6,464.42x = 24,909,168.07
  5. Step 5: Solve for x
    x = 24,909,168.07/6,464.42
  6. Step 6: Final answer
    x = 3,853.27

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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.