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Finding the Fourth Proportional to 6,725.80, 9,279.06 and 4,172.38

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Solution

The fourth proportional to 6,725.80, 9,279.06 and 4,172.38 is: 5,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.80 : 9,279.06 = 4,172.38 : x
  2. Step 2: Convert to fraction form
    6,725.80/9,279.06 = 4,172.38/x
  3. Step 3: Cross multiply
    6,725.80x = 9,279.06 × 4,172.38
  4. Step 4: Simplify right side
    6,725.80x = 38,715,764.36
  5. Step 5: Solve for x
    x = 38,715,764.36/6,725.80
  6. Step 6: Final answer
    x = 5,756.31

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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.