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Finding the Fourth Proportional to 9,563.27, 14,343.76 and 2,543.80

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Solution

The fourth proportional to 9,563.27, 14,343.76 and 2,543.80 is: 3,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.27 : 14,343.76 = 2,543.80 : x
  2. Step 2: Convert to fraction form
    9,563.27/14,343.76 = 2,543.80/x
  3. Step 3: Cross multiply
    9,563.27x = 14,343.76 × 2,543.80
  4. Step 4: Simplify right side
    9,563.27x = 36,487,614.14
  5. Step 5: Solve for x
    x = 36,487,614.14/9,563.27
  6. Step 6: Final answer
    x = 3,815.39

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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.