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Finding the Fourth Proportional to 9,683.30, 14,524.65 and 2,757.80

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Solution

The fourth proportional to 9,683.30, 14,524.65 and 2,757.80 is: 4,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.30 : 14,524.65 = 2,757.80 : x
  2. Step 2: Convert to fraction form
    9,683.30/14,524.65 = 2,757.80/x
  3. Step 3: Cross multiply
    9,683.30x = 14,524.65 × 2,757.80
  4. Step 4: Simplify right side
    9,683.30x = 40,056,079.77
  5. Step 5: Solve for x
    x = 40,056,079.77/9,683.30
  6. Step 6: Final answer
    x = 4,136.61

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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.