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Finding the Fourth Proportional to 6,861.09, 9,468.19 and 3,836.28

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Solution

The fourth proportional to 6,861.09, 9,468.19 and 3,836.28 is: 5,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.09 : 9,468.19 = 3,836.28 : x
  2. Step 2: Convert to fraction form
    6,861.09/9,468.19 = 3,836.28/x
  3. Step 3: Cross multiply
    6,861.09x = 9,468.19 × 3,836.28
  4. Step 4: Simplify right side
    6,861.09x = 36,322,627.93
  5. Step 5: Solve for x
    x = 36,322,627.93/6,861.09
  6. Step 6: Final answer
    x = 5,294.00

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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.