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Finding the Fourth Proportional to 6,512.53, 9,770.01 and 2,130.22

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Solution

The fourth proportional to 6,512.53, 9,770.01 and 2,130.22 is: 3,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.53 : 9,770.01 = 2,130.22 : x
  2. Step 2: Convert to fraction form
    6,512.53/9,770.01 = 2,130.22/x
  3. Step 3: Cross multiply
    6,512.53x = 9,770.01 × 2,130.22
  4. Step 4: Simplify right side
    6,512.53x = 20,812,260.05
  5. Step 5: Solve for x
    x = 20,812,260.05/6,512.53
  6. Step 6: Final answer
    x = 3,195.73

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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.