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Finding the Fourth Proportional to 9,983.72, 14,975.94 and 3,743.10

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Solution

The fourth proportional to 9,983.72, 14,975.94 and 3,743.10 is: 5,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.72 : 14,975.94 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    9,983.72/14,975.94 = 3,743.10/x
  3. Step 3: Cross multiply
    9,983.72x = 14,975.94 × 3,743.10
  4. Step 4: Simplify right side
    9,983.72x = 56,056,441.01
  5. Step 5: Solve for x
    x = 56,056,441.01/9,983.72
  6. Step 6: Final answer
    x = 5,614.78

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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.