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Finding the Fourth Proportional to 6,410.12, 8,843.28 and 4,171.28

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Solution

The fourth proportional to 6,410.12, 8,843.28 and 4,171.28 is: 5,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.12 : 8,843.28 = 4,171.28 : x
  2. Step 2: Convert to fraction form
    6,410.12/8,843.28 = 4,171.28/x
  3. Step 3: Cross multiply
    6,410.12x = 8,843.28 × 4,171.28
  4. Step 4: Simplify right side
    6,410.12x = 36,887,797.00
  5. Step 5: Solve for x
    x = 36,887,797.00/6,410.12
  6. Step 6: Final answer
    x = 5,754.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.