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Finding the Fourth Proportional to 6,504.32, 9,757.49 and 2,120.76

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Solution

The fourth proportional to 6,504.32, 9,757.49 and 2,120.76 is: 3,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.32 : 9,757.49 = 2,120.76 : x
  2. Step 2: Convert to fraction form
    6,504.32/9,757.49 = 2,120.76/x
  3. Step 3: Cross multiply
    6,504.32x = 9,757.49 × 2,120.76
  4. Step 4: Simplify right side
    6,504.32x = 20,693,294.49
  5. Step 5: Solve for x
    x = 20,693,294.49/6,504.32
  6. Step 6: Final answer
    x = 3,181.47

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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.