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Finding the Fourth Proportional to 9,906.25, 14,861.81 and 2,980.75

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Solution

The fourth proportional to 9,906.25, 14,861.81 and 2,980.75 is: 4,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.25 : 14,861.81 = 2,980.75 : x
  2. Step 2: Convert to fraction form
    9,906.25/14,861.81 = 2,980.75/x
  3. Step 3: Cross multiply
    9,906.25x = 14,861.81 × 2,980.75
  4. Step 4: Simplify right side
    9,906.25x = 44,299,340.16
  5. Step 5: Solve for x
    x = 44,299,340.16/9,906.25
  6. Step 6: Final answer
    x = 4,471.86

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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.