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Finding the Fourth Proportional to 6,729.74, 10,096.28 and 3,222.41

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Solution

The fourth proportional to 6,729.74, 10,096.28 and 3,222.41 is: 4,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.74 : 10,096.28 = 3,222.41 : x
  2. Step 2: Convert to fraction form
    6,729.74/10,096.28 = 3,222.41/x
  3. Step 3: Cross multiply
    6,729.74x = 10,096.28 × 3,222.41
  4. Step 4: Simplify right side
    6,729.74x = 32,534,353.63
  5. Step 5: Solve for x
    x = 32,534,353.63/6,729.74
  6. Step 6: Final answer
    x = 4,834.41

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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.