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Finding the Fourth Proportional to 6,546.17, 9,819.12 and 1,866.21

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Solution

The fourth proportional to 6,546.17, 9,819.12 and 1,866.21 is: 2,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.17 : 9,819.12 = 1,866.21 : x
  2. Step 2: Convert to fraction form
    6,546.17/9,819.12 = 1,866.21/x
  3. Step 3: Cross multiply
    6,546.17x = 9,819.12 × 1,866.21
  4. Step 4: Simplify right side
    6,546.17x = 18,324,539.94
  5. Step 5: Solve for x
    x = 18,324,539.94/6,546.17
  6. Step 6: Final answer
    x = 2,799.28

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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.