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Finding the Fourth Proportional to 6,976.64, 9,627.96 and 3,833.04

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Solution

The fourth proportional to 6,976.64, 9,627.96 and 3,833.04 is: 5,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.64 : 9,627.96 = 3,833.04 : x
  2. Step 2: Convert to fraction form
    6,976.64/9,627.96 = 3,833.04/x
  3. Step 3: Cross multiply
    6,976.64x = 9,627.96 × 3,833.04
  4. Step 4: Simplify right side
    6,976.64x = 36,904,355.80
  5. Step 5: Solve for x
    x = 36,904,355.80/6,976.64
  6. Step 6: Final answer
    x = 5,289.70

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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.