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Finding the Fourth Proportional to 6,917.85, 9,546.49 and 3,774.04

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Solution

The fourth proportional to 6,917.85, 9,546.49 and 3,774.04 is: 5,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.85 : 9,546.49 = 3,774.04 : x
  2. Step 2: Convert to fraction form
    6,917.85/9,546.49 = 3,774.04/x
  3. Step 3: Cross multiply
    6,917.85x = 9,546.49 × 3,774.04
  4. Step 4: Simplify right side
    6,917.85x = 36,028,815.97
  5. Step 5: Solve for x
    x = 36,028,815.97/6,917.85
  6. Step 6: Final answer
    x = 5,208.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.