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Finding the Fourth Proportional to 9,608.14, 14,414.07 and 3,369.94

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Solution

The fourth proportional to 9,608.14, 14,414.07 and 3,369.94 is: 5,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.14 : 14,414.07 = 3,369.94 : x
  2. Step 2: Convert to fraction form
    9,608.14/14,414.07 = 3,369.94/x
  3. Step 3: Cross multiply
    9,608.14x = 14,414.07 × 3,369.94
  4. Step 4: Simplify right side
    9,608.14x = 48,574,551.06
  5. Step 5: Solve for x
    x = 48,574,551.06/9,608.14
  6. Step 6: Final answer
    x = 5,055.56

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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.