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Finding the Fourth Proportional to 9,608.55, 14,412.83 and 9,414.15

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Solution

The fourth proportional to 9,608.55, 14,412.83 and 9,414.15 is: 14,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.55 : 14,412.83 = 9,414.15 : x
  2. Step 2: Convert to fraction form
    9,608.55/14,412.83 = 9,414.15/x
  3. Step 3: Cross multiply
    9,608.55x = 14,412.83 × 9,414.15
  4. Step 4: Simplify right side
    9,608.55x = 135,684,496.47
  5. Step 5: Solve for x
    x = 135,684,496.47/9,608.55
  6. Step 6: Final answer
    x = 14,121.23

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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.