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Finding the Fourth Proportional to 6,861.14, 9,468.35 and 3,717.33

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Solution

The fourth proportional to 6,861.14, 9,468.35 and 3,717.33 is: 5,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.14 : 9,468.35 = 3,717.33 : x
  2. Step 2: Convert to fraction form
    6,861.14/9,468.35 = 3,717.33/x
  3. Step 3: Cross multiply
    6,861.14x = 9,468.35 × 3,717.33
  4. Step 4: Simplify right side
    6,861.14x = 35,196,990.80
  5. Step 5: Solve for x
    x = 35,196,990.80/6,861.14
  6. Step 6: Final answer
    x = 5,129.91

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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.