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Finding the Fourth Proportional to 6,166.56, 9,250.34 and 2,006.47

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Solution

The fourth proportional to 6,166.56, 9,250.34 and 2,006.47 is: 3,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.56 : 9,250.34 = 2,006.47 : x
  2. Step 2: Convert to fraction form
    6,166.56/9,250.34 = 2,006.47/x
  3. Step 3: Cross multiply
    6,166.56x = 9,250.34 × 2,006.47
  4. Step 4: Simplify right side
    6,166.56x = 18,560,529.70
  5. Step 5: Solve for x
    x = 18,560,529.70/6,166.56
  6. Step 6: Final answer
    x = 3,009.87

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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.