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Finding the Fourth Proportional to 9,898.62, 13,674.33 and 7,906.56

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Solution

The fourth proportional to 9,898.62, 13,674.33 and 7,906.56 is: 10,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.62 : 13,674.33 = 7,906.56 : x
  2. Step 2: Convert to fraction form
    9,898.62/13,674.33 = 7,906.56/x
  3. Step 3: Cross multiply
    9,898.62x = 13,674.33 × 7,906.56
  4. Step 4: Simplify right side
    9,898.62x = 108,116,910.60
  5. Step 5: Solve for x
    x = 108,116,910.60/9,898.62
  6. Step 6: Final answer
    x = 10,922.42

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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.