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Finding the Fourth Proportional to 9,481.28, 14,217.90 and 2,906

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Solution

The fourth proportional to 9,481.28, 14,217.90 and 2,906 is: 4,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.28 : 14,217.90 = 2,906 : x
  2. Step 2: Convert to fraction form
    9,481.28/14,217.90 = 2,906/x
  3. Step 3: Cross multiply
    9,481.28x = 14,217.90 × 2,906
  4. Step 4: Simplify right side
    9,481.28x = 41,317,217.40
  5. Step 5: Solve for x
    x = 41,317,217.40/9,481.28
  6. Step 6: Final answer
    x = 4,357.77

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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.