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Finding the Fourth Proportional to 6,608.81, 9,914.73 and 3,837.80

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Solution

The fourth proportional to 6,608.81, 9,914.73 and 3,837.80 is: 5,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.81 : 9,914.73 = 3,837.80 : x
  2. Step 2: Convert to fraction form
    6,608.81/9,914.73 = 3,837.80/x
  3. Step 3: Cross multiply
    6,608.81x = 9,914.73 × 3,837.80
  4. Step 4: Simplify right side
    6,608.81x = 38,050,701.22
  5. Step 5: Solve for x
    x = 38,050,701.22/6,608.81
  6. Step 6: Final answer
    x = 5,757.58

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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.