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Finding the Fourth Proportional to 9,190.95, 12,685.32 and 5,837.69

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Solution

The fourth proportional to 9,190.95, 12,685.32 and 5,837.69 is: 8,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.95 : 12,685.32 = 5,837.69 : x
  2. Step 2: Convert to fraction form
    9,190.95/12,685.32 = 5,837.69/x
  3. Step 3: Cross multiply
    9,190.95x = 12,685.32 × 5,837.69
  4. Step 4: Simplify right side
    9,190.95x = 74,052,902.28
  5. Step 5: Solve for x
    x = 74,052,902.28/9,190.95
  6. Step 6: Final answer
    x = 8,057.15

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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.