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Finding the Fourth Proportional to 9,661.92, 14,489.73 and 3,086.55

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Solution

The fourth proportional to 9,661.92, 14,489.73 and 3,086.55 is: 4,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.92 : 14,489.73 = 3,086.55 : x
  2. Step 2: Convert to fraction form
    9,661.92/14,489.73 = 3,086.55/x
  3. Step 3: Cross multiply
    9,661.92x = 14,489.73 × 3,086.55
  4. Step 4: Simplify right side
    9,661.92x = 44,723,276.13
  5. Step 5: Solve for x
    x = 44,723,276.13/9,661.92
  6. Step 6: Final answer
    x = 4,628.82

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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.