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Finding the Fourth Proportional to 6,441.08, 9,661.60 and 3,153.28

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Solution

The fourth proportional to 6,441.08, 9,661.60 and 3,153.28 is: 4,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.08 : 9,661.60 = 3,153.28 : x
  2. Step 2: Convert to fraction form
    6,441.08/9,661.60 = 3,153.28/x
  3. Step 3: Cross multiply
    6,441.08x = 9,661.60 × 3,153.28
  4. Step 4: Simplify right side
    6,441.08x = 30,465,730.05
  5. Step 5: Solve for x
    x = 30,465,730.05/6,441.08
  6. Step 6: Final answer
    x = 4,729.91

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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.