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Finding the Fourth Proportional to 6,296.27, 9,445.54 and 2,596.44

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Solution

The fourth proportional to 6,296.27, 9,445.54 and 2,596.44 is: 3,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.27 : 9,445.54 = 2,596.44 : x
  2. Step 2: Convert to fraction form
    6,296.27/9,445.54 = 2,596.44/x
  3. Step 3: Cross multiply
    6,296.27x = 9,445.54 × 2,596.44
  4. Step 4: Simplify right side
    6,296.27x = 24,524,777.88
  5. Step 5: Solve for x
    x = 24,524,777.88/6,296.27
  6. Step 6: Final answer
    x = 3,895.13

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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.