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Finding the Fourth Proportional to 6,845.68, 9,446.99 and 3,861.54

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Solution

The fourth proportional to 6,845.68, 9,446.99 and 3,861.54 is: 5,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.68 : 9,446.99 = 3,861.54 : x
  2. Step 2: Convert to fraction form
    6,845.68/9,446.99 = 3,861.54/x
  3. Step 3: Cross multiply
    6,845.68x = 9,446.99 × 3,861.54
  4. Step 4: Simplify right side
    6,845.68x = 36,479,929.76
  5. Step 5: Solve for x
    x = 36,479,929.76/6,845.68
  6. Step 6: Final answer
    x = 5,328.90

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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.