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Finding the Fourth Proportional to 6,463.17, 9,694.79 and 2,567.57

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Solution

The fourth proportional to 6,463.17, 9,694.79 and 2,567.57 is: 3,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.17 : 9,694.79 = 2,567.57 : x
  2. Step 2: Convert to fraction form
    6,463.17/9,694.79 = 2,567.57/x
  3. Step 3: Cross multiply
    6,463.17x = 9,694.79 × 2,567.57
  4. Step 4: Simplify right side
    6,463.17x = 24,892,051.96
  5. Step 5: Solve for x
    x = 24,892,051.96/6,463.17
  6. Step 6: Final answer
    x = 3,851.37

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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.