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Finding the Fourth Proportional to 6,889.29, 10,328.17 and 3,194.18

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Solution

The fourth proportional to 6,889.29, 10,328.17 and 3,194.18 is: 4,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.29 : 10,328.17 = 3,194.18 : x
  2. Step 2: Convert to fraction form
    6,889.29/10,328.17 = 3,194.18/x
  3. Step 3: Cross multiply
    6,889.29x = 10,328.17 × 3,194.18
  4. Step 4: Simplify right side
    6,889.29x = 32,990,034.05
  5. Step 5: Solve for x
    x = 32,990,034.05/6,889.29
  6. Step 6: Final answer
    x = 4,788.60

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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.