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Finding the Fourth Proportional to 6,086.94, 9,111.78 and 3,897.78

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Solution

The fourth proportional to 6,086.94, 9,111.78 and 3,897.78 is: 5,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.94 : 9,111.78 = 3,897.78 : x
  2. Step 2: Convert to fraction form
    6,086.94/9,111.78 = 3,897.78/x
  3. Step 3: Cross multiply
    6,086.94x = 9,111.78 × 3,897.78
  4. Step 4: Simplify right side
    6,086.94x = 35,515,713.85
  5. Step 5: Solve for x
    x = 35,515,713.85/6,086.94
  6. Step 6: Final answer
    x = 5,834.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.