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Finding the Fourth Proportional to 6,296.73, 9,438.93 and 2,602.08

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Solution

The fourth proportional to 6,296.73, 9,438.93 and 2,602.08 is: 3,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.73 : 9,438.93 = 2,602.08 : x
  2. Step 2: Convert to fraction form
    6,296.73/9,438.93 = 2,602.08/x
  3. Step 3: Cross multiply
    6,296.73x = 9,438.93 × 2,602.08
  4. Step 4: Simplify right side
    6,296.73x = 24,560,850.97
  5. Step 5: Solve for x
    x = 24,560,850.97/6,296.73
  6. Step 6: Final answer
    x = 3,900.57

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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.