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Finding the Fourth Proportional to 7,086.09, 9,778.82 and 4,102.09

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Solution

The fourth proportional to 7,086.09, 9,778.82 and 4,102.09 is: 5,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.09 : 9,778.82 = 4,102.09 : x
  2. Step 2: Convert to fraction form
    7,086.09/9,778.82 = 4,102.09/x
  3. Step 3: Cross multiply
    7,086.09x = 9,778.82 × 4,102.09
  4. Step 4: Simplify right side
    7,086.09x = 40,113,554.78
  5. Step 5: Solve for x
    x = 40,113,554.78/7,086.09
  6. Step 6: Final answer
    x = 5,660.88

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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.