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Finding the Fourth Proportional to 6,268.88, 8,654.28 and 4,414.16

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Solution

The fourth proportional to 6,268.88, 8,654.28 and 4,414.16 is: 6,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.88 : 8,654.28 = 4,414.16 : x
  2. Step 2: Convert to fraction form
    6,268.88/8,654.28 = 4,414.16/x
  3. Step 3: Cross multiply
    6,268.88x = 8,654.28 × 4,414.16
  4. Step 4: Simplify right side
    6,268.88x = 38,201,376.60
  5. Step 5: Solve for x
    x = 38,201,376.60/6,268.88
  6. Step 6: Final answer
    x = 6,093.81

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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.