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Finding the Fourth Proportional to 6,236.46, 9,354.76 and 3,480.64

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Solution

The fourth proportional to 6,236.46, 9,354.76 and 3,480.64 is: 5,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.46 : 9,354.76 = 3,480.64 : x
  2. Step 2: Convert to fraction form
    6,236.46/9,354.76 = 3,480.64/x
  3. Step 3: Cross multiply
    6,236.46x = 9,354.76 × 3,480.64
  4. Step 4: Simplify right side
    6,236.46x = 32,560,519.76
  5. Step 5: Solve for x
    x = 32,560,519.76/6,236.46
  6. Step 6: Final answer
    x = 5,220.99

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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.