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Finding the Fourth Proportional to 7,214.62, 9,954.75 and 4,231.39

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Solution

The fourth proportional to 7,214.62, 9,954.75 and 4,231.39 is: 5,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.62 : 9,954.75 = 4,231.39 : x
  2. Step 2: Convert to fraction form
    7,214.62/9,954.75 = 4,231.39/x
  3. Step 3: Cross multiply
    7,214.62x = 9,954.75 × 4,231.39
  4. Step 4: Simplify right side
    7,214.62x = 42,122,429.60
  5. Step 5: Solve for x
    x = 42,122,429.60/7,214.62
  6. Step 6: Final answer
    x = 5,838.48

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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.