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Finding the Fourth Proportional to 9,471.06, 14,206.20 and 3,627.32

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Solution

The fourth proportional to 9,471.06, 14,206.20 and 3,627.32 is: 5,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.06 : 14,206.20 = 3,627.32 : x
  2. Step 2: Convert to fraction form
    9,471.06/14,206.20 = 3,627.32/x
  3. Step 3: Cross multiply
    9,471.06x = 14,206.20 × 3,627.32
  4. Step 4: Simplify right side
    9,471.06x = 51,530,433.38
  5. Step 5: Solve for x
    x = 51,530,433.38/9,471.06
  6. Step 6: Final answer
    x = 5,440.83

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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.