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Finding the Fourth Proportional to 9,682.47, 14,520.20 and 4,136.20

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Solution

The fourth proportional to 9,682.47, 14,520.20 and 4,136.20 is: 6,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.47 : 14,520.20 = 4,136.20 : x
  2. Step 2: Convert to fraction form
    9,682.47/14,520.20 = 4,136.20/x
  3. Step 3: Cross multiply
    9,682.47x = 14,520.20 × 4,136.20
  4. Step 4: Simplify right side
    9,682.47x = 60,058,394.26
  5. Step 5: Solve for x
    x = 60,058,394.26/9,682.47
  6. Step 6: Final answer
    x = 6,202.80

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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.