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Finding the Fourth Proportional to 6,441.84, 9,664.14 and 3,669.84

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Solution

The fourth proportional to 6,441.84, 9,664.14 and 3,669.84 is: 5,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.84 : 9,664.14 = 3,669.84 : x
  2. Step 2: Convert to fraction form
    6,441.84/9,664.14 = 3,669.84/x
  3. Step 3: Cross multiply
    6,441.84x = 9,664.14 × 3,669.84
  4. Step 4: Simplify right side
    6,441.84x = 35,465,847.54
  5. Step 5: Solve for x
    x = 35,465,847.54/6,441.84
  6. Step 6: Final answer
    x = 5,505.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.