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Finding the Fourth Proportional to 6,917.52, 9,546.04 and 4,227.88

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Solution

The fourth proportional to 6,917.52, 9,546.04 and 4,227.88 is: 5,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.52 : 9,546.04 = 4,227.88 : x
  2. Step 2: Convert to fraction form
    6,917.52/9,546.04 = 4,227.88/x
  3. Step 3: Cross multiply
    6,917.52x = 9,546.04 × 4,227.88
  4. Step 4: Simplify right side
    6,917.52x = 40,359,511.60
  5. Step 5: Solve for x
    x = 40,359,511.60/6,917.52
  6. Step 6: Final answer
    x = 5,834.39

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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.