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Finding the Fourth Proportional to 6,938.88, 9,575.14 and 4,286.34

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Solution

The fourth proportional to 6,938.88, 9,575.14 and 4,286.34 is: 5,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.88 : 9,575.14 = 4,286.34 : x
  2. Step 2: Convert to fraction form
    6,938.88/9,575.14 = 4,286.34/x
  3. Step 3: Cross multiply
    6,938.88x = 9,575.14 × 4,286.34
  4. Step 4: Simplify right side
    6,938.88x = 41,042,305.59
  5. Step 5: Solve for x
    x = 41,042,305.59/6,938.88
  6. Step 6: Final answer
    x = 5,914.83

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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.