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Finding the Fourth Proportional to 6,917.75, 9,546.50 and 3,773.96

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Solution

The fourth proportional to 6,917.75, 9,546.50 and 3,773.96 is: 5,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.75 : 9,546.50 = 3,773.96 : x
  2. Step 2: Convert to fraction form
    6,917.75/9,546.50 = 3,773.96/x
  3. Step 3: Cross multiply
    6,917.75x = 9,546.50 × 3,773.96
  4. Step 4: Simplify right side
    6,917.75x = 36,028,109.14
  5. Step 5: Solve for x
    x = 36,028,109.14/6,917.75
  6. Step 6: Final answer
    x = 5,208.07

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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.