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Finding the Fourth Proportional to 6,396.42, 9,596.07 and 2,501.94

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Solution

The fourth proportional to 6,396.42, 9,596.07 and 2,501.94 is: 3,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.42 : 9,596.07 = 2,501.94 : x
  2. Step 2: Convert to fraction form
    6,396.42/9,596.07 = 2,501.94/x
  3. Step 3: Cross multiply
    6,396.42x = 9,596.07 × 2,501.94
  4. Step 4: Simplify right side
    6,396.42x = 24,008,791.38
  5. Step 5: Solve for x
    x = 24,008,791.38/6,396.42
  6. Step 6: Final answer
    x = 3,753.47

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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.