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Finding the Fourth Proportional to 6,921.67, 9,551.94 and 3,777.87

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Solution

The fourth proportional to 6,921.67, 9,551.94 and 3,777.87 is: 5,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.67 : 9,551.94 = 3,777.87 : x
  2. Step 2: Convert to fraction form
    6,921.67/9,551.94 = 3,777.87/x
  3. Step 3: Cross multiply
    6,921.67x = 9,551.94 × 3,777.87
  4. Step 4: Simplify right side
    6,921.67x = 36,085,987.57
  5. Step 5: Solve for x
    x = 36,085,987.57/6,921.67
  6. Step 6: Final answer
    x = 5,213.48

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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.