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Finding the Fourth Proportional to 9,912.78, 13,678.69 and 5,933.81

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Solution

The fourth proportional to 9,912.78, 13,678.69 and 5,933.81 is: 8,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.78 : 13,678.69 = 5,933.81 : x
  2. Step 2: Convert to fraction form
    9,912.78/13,678.69 = 5,933.81/x
  3. Step 3: Cross multiply
    9,912.78x = 13,678.69 × 5,933.81
  4. Step 4: Simplify right side
    9,912.78x = 81,166,747.51
  5. Step 5: Solve for x
    x = 81,166,747.51/9,912.78
  6. Step 6: Final answer
    x = 8,188.09

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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.