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Finding the Fourth Proportional to 9,682.23, 14,524.47 and 4,136.22

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Solution

The fourth proportional to 9,682.23, 14,524.47 and 4,136.22 is: 6,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.23 : 14,524.47 = 4,136.22 : x
  2. Step 2: Convert to fraction form
    9,682.23/14,524.47 = 4,136.22/x
  3. Step 3: Cross multiply
    9,682.23x = 14,524.47 × 4,136.22
  4. Step 4: Simplify right side
    9,682.23x = 60,076,403.30
  5. Step 5: Solve for x
    x = 60,076,403.30/9,682.23
  6. Step 6: Final answer
    x = 6,204.81

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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.