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Finding the Fourth Proportional to 6,512.96, 9,767.06 and 2,351.84

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Solution

The fourth proportional to 6,512.96, 9,767.06 and 2,351.84 is: 3,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.96 : 9,767.06 = 2,351.84 : x
  2. Step 2: Convert to fraction form
    6,512.96/9,767.06 = 2,351.84/x
  3. Step 3: Cross multiply
    6,512.96x = 9,767.06 × 2,351.84
  4. Step 4: Simplify right side
    6,512.96x = 22,970,562.39
  5. Step 5: Solve for x
    x = 22,970,562.39/6,512.96
  6. Step 6: Final answer
    x = 3,526.90

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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.