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Finding the Fourth Proportional to 9,922.82, 13,693.43 and 5,446.49

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Solution

The fourth proportional to 9,922.82, 13,693.43 and 5,446.49 is: 7,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.82 : 13,693.43 = 5,446.49 : x
  2. Step 2: Convert to fraction form
    9,922.82/13,693.43 = 5,446.49/x
  3. Step 3: Cross multiply
    9,922.82x = 13,693.43 × 5,446.49
  4. Step 4: Simplify right side
    9,922.82x = 74,581,033.86
  5. Step 5: Solve for x
    x = 74,581,033.86/9,922.82
  6. Step 6: Final answer
    x = 7,516.12

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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.