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Finding the Fourth Proportional to 6,107.70, 9,166.29 and 2,821.14

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Solution

The fourth proportional to 6,107.70, 9,166.29 and 2,821.14 is: 4,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.70 : 9,166.29 = 2,821.14 : x
  2. Step 2: Convert to fraction form
    6,107.70/9,166.29 = 2,821.14/x
  3. Step 3: Cross multiply
    6,107.70x = 9,166.29 × 2,821.14
  4. Step 4: Simplify right side
    6,107.70x = 25,859,387.37
  5. Step 5: Solve for x
    x = 25,859,387.37/6,107.70
  6. Step 6: Final answer
    x = 4,233.90

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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.