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Finding the Fourth Proportional to 6,296.78, 9,438.23 and 2,596.98

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Solution

The fourth proportional to 6,296.78, 9,438.23 and 2,596.98 is: 3,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.78 : 9,438.23 = 2,596.98 : x
  2. Step 2: Convert to fraction form
    6,296.78/9,438.23 = 2,596.98/x
  3. Step 3: Cross multiply
    6,296.78x = 9,438.23 × 2,596.98
  4. Step 4: Simplify right side
    6,296.78x = 24,510,901.04
  5. Step 5: Solve for x
    x = 24,510,901.04/6,296.78
  6. Step 6: Final answer
    x = 3,892.61

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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.