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Finding the Fourth Proportional to 6,881.91, 9,496.89 and 3,738.12

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Solution

The fourth proportional to 6,881.91, 9,496.89 and 3,738.12 is: 5,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.91 : 9,496.89 = 3,738.12 : x
  2. Step 2: Convert to fraction form
    6,881.91/9,496.89 = 3,738.12/x
  3. Step 3: Cross multiply
    6,881.91x = 9,496.89 × 3,738.12
  4. Step 4: Simplify right side
    6,881.91x = 35,500,514.45
  5. Step 5: Solve for x
    x = 35,500,514.45/6,881.91
  6. Step 6: Final answer
    x = 5,158.53

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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.