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Finding the Fourth Proportional to 6,179.92, 9,272.30 and 2,284.64

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Solution

The fourth proportional to 6,179.92, 9,272.30 and 2,284.64 is: 3,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.92 : 9,272.30 = 2,284.64 : x
  2. Step 2: Convert to fraction form
    6,179.92/9,272.30 = 2,284.64/x
  3. Step 3: Cross multiply
    6,179.92x = 9,272.30 × 2,284.64
  4. Step 4: Simplify right side
    6,179.92x = 21,183,867.47
  5. Step 5: Solve for x
    x = 21,183,867.47/6,179.92
  6. Step 6: Final answer
    x = 3,427.85

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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.