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Finding the Fourth Proportional to 9,268.58, 12,787.17 and 5,865.77

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Solution

The fourth proportional to 9,268.58, 12,787.17 and 5,865.77 is: 8,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.58 : 12,787.17 = 5,865.77 : x
  2. Step 2: Convert to fraction form
    9,268.58/12,787.17 = 5,865.77/x
  3. Step 3: Cross multiply
    9,268.58x = 12,787.17 × 5,865.77
  4. Step 4: Simplify right side
    9,268.58x = 75,006,536.21
  5. Step 5: Solve for x
    x = 75,006,536.21/9,268.58
  6. Step 6: Final answer
    x = 8,092.56

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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.