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Finding the Fourth Proportional to 6,602.70, 9,884.89 and 5,137.41

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Solution

The fourth proportional to 6,602.70, 9,884.89 and 5,137.41 is: 7,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.70 : 9,884.89 = 5,137.41 : x
  2. Step 2: Convert to fraction form
    6,602.70/9,884.89 = 5,137.41/x
  3. Step 3: Cross multiply
    6,602.70x = 9,884.89 × 5,137.41
  4. Step 4: Simplify right side
    6,602.70x = 50,782,732.73
  5. Step 5: Solve for x
    x = 50,782,732.73/6,602.70
  6. Step 6: Final answer
    x = 7,691.21

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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.