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Finding the Fourth Proportional to 6,534.70, 9,797.02 and 3,245.24

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Solution

The fourth proportional to 6,534.70, 9,797.02 and 3,245.24 is: 4,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.70 : 9,797.02 = 3,245.24 : x
  2. Step 2: Convert to fraction form
    6,534.70/9,797.02 = 3,245.24/x
  3. Step 3: Cross multiply
    6,534.70x = 9,797.02 × 3,245.24
  4. Step 4: Simplify right side
    6,534.70x = 31,793,697.56
  5. Step 5: Solve for x
    x = 31,793,697.56/6,534.70
  6. Step 6: Final answer
    x = 4,865.37

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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.