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Finding the Fourth Proportional to 6,917.38, 9,546.05 and 3,773.63

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Solution

The fourth proportional to 6,917.38, 9,546.05 and 3,773.63 is: 5,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.38 : 9,546.05 = 3,773.63 : x
  2. Step 2: Convert to fraction form
    6,917.38/9,546.05 = 3,773.63/x
  3. Step 3: Cross multiply
    6,917.38x = 9,546.05 × 3,773.63
  4. Step 4: Simplify right side
    6,917.38x = 36,023,260.66
  5. Step 5: Solve for x
    x = 36,023,260.66/6,917.38
  6. Step 6: Final answer
    x = 5,207.65

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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.