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Finding the Fourth Proportional to 6,227.60, 8,594.68 and 3,961.32

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Solution

The fourth proportional to 6,227.60, 8,594.68 and 3,961.32 is: 5,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.60 : 8,594.68 = 3,961.32 : x
  2. Step 2: Convert to fraction form
    6,227.60/8,594.68 = 3,961.32/x
  3. Step 3: Cross multiply
    6,227.60x = 8,594.68 × 3,961.32
  4. Step 4: Simplify right side
    6,227.60x = 34,046,266.30
  5. Step 5: Solve for x
    x = 34,046,266.30/6,227.60
  6. Step 6: Final answer
    x = 5,467.00

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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.