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Finding the Fourth Proportional to 6,212.58, 9,311.82 and 3,094.80

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Solution

The fourth proportional to 6,212.58, 9,311.82 and 3,094.80 is: 4,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.58 : 9,311.82 = 3,094.80 : x
  2. Step 2: Convert to fraction form
    6,212.58/9,311.82 = 3,094.80/x
  3. Step 3: Cross multiply
    6,212.58x = 9,311.82 × 3,094.80
  4. Step 4: Simplify right side
    6,212.58x = 28,818,220.54
  5. Step 5: Solve for x
    x = 28,818,220.54/6,212.58
  6. Step 6: Final answer
    x = 4,638.69

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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.