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Finding the Fourth Proportional to 6,912.20, 9,537.86 and 4,079.68

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Solution

The fourth proportional to 6,912.20, 9,537.86 and 4,079.68 is: 5,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.20 : 9,537.86 = 4,079.68 : x
  2. Step 2: Convert to fraction form
    6,912.20/9,537.86 = 4,079.68/x
  3. Step 3: Cross multiply
    6,912.20x = 9,537.86 × 4,079.68
  4. Step 4: Simplify right side
    6,912.20x = 38,911,416.68
  5. Step 5: Solve for x
    x = 38,911,416.68/6,912.20
  6. Step 6: Final answer
    x = 5,629.38

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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.