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Finding the Fourth Proportional to 6,101.70, 9,149.49 and 2,981.94

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Solution

The fourth proportional to 6,101.70, 9,149.49 and 2,981.94 is: 4,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 9,149.49 = 2,981.94 : x
  2. Step 2: Convert to fraction form
    6,101.70/9,149.49 = 2,981.94/x
  3. Step 3: Cross multiply
    6,101.70x = 9,149.49 × 2,981.94
  4. Step 4: Simplify right side
    6,101.70x = 27,283,230.21
  5. Step 5: Solve for x
    x = 27,283,230.21/6,101.70
  6. Step 6: Final answer
    x = 4,471.41

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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.