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Finding the Fourth Proportional to 6,504.34, 9,754.46 and 2,121.16

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Solution

The fourth proportional to 6,504.34, 9,754.46 and 2,121.16 is: 3,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.34 : 9,754.46 = 2,121.16 : x
  2. Step 2: Convert to fraction form
    6,504.34/9,754.46 = 2,121.16/x
  3. Step 3: Cross multiply
    6,504.34x = 9,754.46 × 2,121.16
  4. Step 4: Simplify right side
    6,504.34x = 20,690,770.37
  5. Step 5: Solve for x
    x = 20,690,770.37/6,504.34
  6. Step 6: Final answer
    x = 3,181.07

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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.