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Finding the Fourth Proportional to 9,608.42, 14,410.37 and 3,683.22

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Solution

The fourth proportional to 9,608.42, 14,410.37 and 3,683.22 is: 5,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.42 : 14,410.37 = 3,683.22 : x
  2. Step 2: Convert to fraction form
    9,608.42/14,410.37 = 3,683.22/x
  3. Step 3: Cross multiply
    9,608.42x = 14,410.37 × 3,683.22
  4. Step 4: Simplify right side
    9,608.42x = 53,076,562.99
  5. Step 5: Solve for x
    x = 53,076,562.99/9,608.42
  6. Step 6: Final answer
    x = 5,523.96

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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.