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Finding the Fourth Proportional to 8,976.92, 13,467.18 and 2,737.40

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Solution

The fourth proportional to 8,976.92, 13,467.18 and 2,737.40 is: 4,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.92 : 13,467.18 = 2,737.40 : x
  2. Step 2: Convert to fraction form
    8,976.92/13,467.18 = 2,737.40/x
  3. Step 3: Cross multiply
    8,976.92x = 13,467.18 × 2,737.40
  4. Step 4: Simplify right side
    8,976.92x = 36,865,058.53
  5. Step 5: Solve for x
    x = 36,865,058.53/8,976.92
  6. Step 6: Final answer
    x = 4,106.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.