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Finding the Fourth Proportional to 6,536.89, 9,805.94 and 2,154.39

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Solution

The fourth proportional to 6,536.89, 9,805.94 and 2,154.39 is: 3,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.89 : 9,805.94 = 2,154.39 : x
  2. Step 2: Convert to fraction form
    6,536.89/9,805.94 = 2,154.39/x
  3. Step 3: Cross multiply
    6,536.89x = 9,805.94 × 2,154.39
  4. Step 4: Simplify right side
    6,536.89x = 21,125,819.08
  5. Step 5: Solve for x
    x = 21,125,819.08/6,536.89
  6. Step 6: Final answer
    x = 3,231.78

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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.