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Finding the Fourth Proportional to 6,922.17, 9,549.86 and 3,896.60

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Solution

The fourth proportional to 6,922.17, 9,549.86 and 3,896.60 is: 5,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.17 : 9,549.86 = 3,896.60 : x
  2. Step 2: Convert to fraction form
    6,922.17/9,549.86 = 3,896.60/x
  3. Step 3: Cross multiply
    6,922.17x = 9,549.86 × 3,896.60
  4. Step 4: Simplify right side
    6,922.17x = 37,211,917.24
  5. Step 5: Solve for x
    x = 37,211,917.24/6,922.17
  6. Step 6: Final answer
    x = 5,375.76

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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.