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Finding the Fourth Proportional to 6,869.12, 9,479.32 and 3,725.32

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Solution

The fourth proportional to 6,869.12, 9,479.32 and 3,725.32 is: 5,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.12 : 9,479.32 = 3,725.32 : x
  2. Step 2: Convert to fraction form
    6,869.12/9,479.32 = 3,725.32/x
  3. Step 3: Cross multiply
    6,869.12x = 9,479.32 × 3,725.32
  4. Step 4: Simplify right side
    6,869.12x = 35,313,500.38
  5. Step 5: Solve for x
    x = 35,313,500.38/6,869.12
  6. Step 6: Final answer
    x = 5,140.91

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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.