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Finding the Fourth Proportional to 6,527.31, 9,796.14 and 3,408.21

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Solution

The fourth proportional to 6,527.31, 9,796.14 and 3,408.21 is: 5,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.31 : 9,796.14 = 3,408.21 : x
  2. Step 2: Convert to fraction form
    6,527.31/9,796.14 = 3,408.21/x
  3. Step 3: Cross multiply
    6,527.31x = 9,796.14 × 3,408.21
  4. Step 4: Simplify right side
    6,527.31x = 33,387,302.31
  5. Step 5: Solve for x
    x = 33,387,302.31/6,527.31
  6. Step 6: Final answer
    x = 5,115.02

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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.