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Finding the Fourth Proportional to 6,214.41, 9,316.22 and 2,747.61

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Solution

The fourth proportional to 6,214.41, 9,316.22 and 2,747.61 is: 4,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.41 : 9,316.22 = 2,747.61 : x
  2. Step 2: Convert to fraction form
    6,214.41/9,316.22 = 2,747.61/x
  3. Step 3: Cross multiply
    6,214.41x = 9,316.22 × 2,747.61
  4. Step 4: Simplify right side
    6,214.41x = 25,597,325.50
  5. Step 5: Solve for x
    x = 25,597,325.50/6,214.41
  6. Step 6: Final answer
    x = 4,119.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.