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Finding the Fourth Proportional to 6,272.33, 9,409.90 and 2,112.02

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Solution

The fourth proportional to 6,272.33, 9,409.90 and 2,112.02 is: 3,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.33 : 9,409.90 = 2,112.02 : x
  2. Step 2: Convert to fraction form
    6,272.33/9,409.90 = 2,112.02/x
  3. Step 3: Cross multiply
    6,272.33x = 9,409.90 × 2,112.02
  4. Step 4: Simplify right side
    6,272.33x = 19,873,839.39
  5. Step 5: Solve for x
    x = 19,873,839.39/6,272.33
  6. Step 6: Final answer
    x = 3,168.50

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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.