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Finding the Fourth Proportional to 9,627.75, 14,441.63 and 3,471.75

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Solution

The fourth proportional to 9,627.75, 14,441.63 and 3,471.75 is: 5,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.75 : 14,441.63 = 3,471.75 : x
  2. Step 2: Convert to fraction form
    9,627.75/14,441.63 = 3,471.75/x
  3. Step 3: Cross multiply
    9,627.75x = 14,441.63 × 3,471.75
  4. Step 4: Simplify right side
    9,627.75x = 50,137,711.59
  5. Step 5: Solve for x
    x = 50,137,711.59/9,627.75
  6. Step 6: Final answer
    x = 5,207.63

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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.