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Finding the Fourth Proportional to 6,211, 9,316.23 and 3,089.80

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Solution

The fourth proportional to 6,211, 9,316.23 and 3,089.80 is: 4,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211 : 9,316.23 = 3,089.80 : x
  2. Step 2: Convert to fraction form
    6,211/9,316.23 = 3,089.80/x
  3. Step 3: Cross multiply
    6,211x = 9,316.23 × 3,089.80
  4. Step 4: Simplify right side
    6,211x = 28,785,287.45
  5. Step 5: Solve for x
    x = 28,785,287.45/6,211
  6. Step 6: Final answer
    x = 4,634.57

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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.