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Finding the Fourth Proportional to 6,441.62, 9,660.54 and 2,057.90

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Solution

The fourth proportional to 6,441.62, 9,660.54 and 2,057.90 is: 3,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.62 : 9,660.54 = 2,057.90 : x
  2. Step 2: Convert to fraction form
    6,441.62/9,660.54 = 2,057.90/x
  3. Step 3: Cross multiply
    6,441.62x = 9,660.54 × 2,057.90
  4. Step 4: Simplify right side
    6,441.62x = 19,880,425.27
  5. Step 5: Solve for x
    x = 19,880,425.27/6,441.62
  6. Step 6: Final answer
    x = 3,086.25

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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.