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Finding the Fourth Proportional to 9,652.43, 14,451.33 and 6,133.71

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Solution

The fourth proportional to 9,652.43, 14,451.33 and 6,133.71 is: 9,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.43 : 14,451.33 = 6,133.71 : x
  2. Step 2: Convert to fraction form
    9,652.43/14,451.33 = 6,133.71/x
  3. Step 3: Cross multiply
    9,652.43x = 14,451.33 × 6,133.71
  4. Step 4: Simplify right side
    9,652.43x = 88,640,267.33
  5. Step 5: Solve for x
    x = 88,640,267.33/9,652.43
  6. Step 6: Final answer
    x = 9,183.21

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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.