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Finding the Fourth Proportional to 6,921.82, 9,552.14 and 3,778.06

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Solution

The fourth proportional to 6,921.82, 9,552.14 and 3,778.06 is: 5,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.82 : 9,552.14 = 3,778.06 : x
  2. Step 2: Convert to fraction form
    6,921.82/9,552.14 = 3,778.06/x
  3. Step 3: Cross multiply
    6,921.82x = 9,552.14 × 3,778.06
  4. Step 4: Simplify right side
    6,921.82x = 36,088,558.05
  5. Step 5: Solve for x
    x = 36,088,558.05/6,921.82
  6. Step 6: Final answer
    x = 5,213.74

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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.