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Finding the Fourth Proportional to 9,194.37, 12,684.81 and 5,608.09

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Solution

The fourth proportional to 9,194.37, 12,684.81 and 5,608.09 is: 7,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.37 : 12,684.81 = 5,608.09 : x
  2. Step 2: Convert to fraction form
    9,194.37/12,684.81 = 5,608.09/x
  3. Step 3: Cross multiply
    9,194.37x = 12,684.81 × 5,608.09
  4. Step 4: Simplify right side
    9,194.37x = 71,137,593.00
  5. Step 5: Solve for x
    x = 71,137,593.00/9,194.37
  6. Step 6: Final answer
    x = 7,737.08

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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.