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Finding the Fourth Proportional to 9,214.36, 12,717.33 and 5,438.44

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Solution

The fourth proportional to 9,214.36, 12,717.33 and 5,438.44 is: 7,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.36 : 12,717.33 = 5,438.44 : x
  2. Step 2: Convert to fraction form
    9,214.36/12,717.33 = 5,438.44/x
  3. Step 3: Cross multiply
    9,214.36x = 12,717.33 × 5,438.44
  4. Step 4: Simplify right side
    9,214.36x = 69,162,446.96
  5. Step 5: Solve for x
    x = 69,162,446.96/9,214.36
  6. Step 6: Final answer
    x = 7,505.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.