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Finding the Fourth Proportional to 9,269.38, 12,787.29 and 8,911.32

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Solution

The fourth proportional to 9,269.38, 12,787.29 and 8,911.32 is: 12,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.38 : 12,787.29 = 8,911.32 : x
  2. Step 2: Convert to fraction form
    9,269.38/12,787.29 = 8,911.32/x
  3. Step 3: Cross multiply
    9,269.38x = 12,787.29 × 8,911.32
  4. Step 4: Simplify right side
    9,269.38x = 113,951,633.12
  5. Step 5: Solve for x
    x = 113,951,633.12/9,269.38
  6. Step 6: Final answer
    x = 12,293.35

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Why These Related Problems?

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