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Finding the Fourth Proportional to 6,441.84, 9,651.96 and 3,845.52

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Solution

The fourth proportional to 6,441.84, 9,651.96 and 3,845.52 is: 5,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.84 : 9,651.96 = 3,845.52 : x
  2. Step 2: Convert to fraction form
    6,441.84/9,651.96 = 3,845.52/x
  3. Step 3: Cross multiply
    6,441.84x = 9,651.96 × 3,845.52
  4. Step 4: Simplify right side
    6,441.84x = 37,116,805.22
  5. Step 5: Solve for x
    x = 37,116,805.22/6,441.84
  6. Step 6: Final answer
    x = 5,761.83

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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.