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Finding the Fourth Proportional to 6,917.34, 9,546 and 3,773.52

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Solution

The fourth proportional to 6,917.34, 9,546 and 3,773.52 is: 5,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.34 : 9,546 = 3,773.52 : x
  2. Step 2: Convert to fraction form
    6,917.34/9,546 = 3,773.52/x
  3. Step 3: Cross multiply
    6,917.34x = 9,546 × 3,773.52
  4. Step 4: Simplify right side
    6,917.34x = 36,022,021.92
  5. Step 5: Solve for x
    x = 36,022,021.92/6,917.34
  6. Step 6: Final answer
    x = 5,207.50

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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.