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Finding the Fourth Proportional to 6,311.54, 9,466.38 and 2,151.68

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Solution

The fourth proportional to 6,311.54, 9,466.38 and 2,151.68 is: 3,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.54 : 9,466.38 = 2,151.68 : x
  2. Step 2: Convert to fraction form
    6,311.54/9,466.38 = 2,151.68/x
  3. Step 3: Cross multiply
    6,311.54x = 9,466.38 × 2,151.68
  4. Step 4: Simplify right side
    6,311.54x = 20,368,573.19
  5. Step 5: Solve for x
    x = 20,368,573.19/6,311.54
  6. Step 6: Final answer
    x = 3,227.20

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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.