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Finding the Fourth Proportional to 6,881.16, 9,496.11 and 3,896.91

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Solution

The fourth proportional to 6,881.16, 9,496.11 and 3,896.91 is: 5,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.16 : 9,496.11 = 3,896.91 : x
  2. Step 2: Convert to fraction form
    6,881.16/9,496.11 = 3,896.91/x
  3. Step 3: Cross multiply
    6,881.16x = 9,496.11 × 3,896.91
  4. Step 4: Simplify right side
    6,881.16x = 37,005,486.02
  5. Step 5: Solve for x
    x = 37,005,486.02/6,881.16
  6. Step 6: Final answer
    x = 5,377.80

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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.