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Finding the Fourth Proportional to 6,346.26, 9,519.39 and 3,747.78

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Solution

The fourth proportional to 6,346.26, 9,519.39 and 3,747.78 is: 5,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.26 : 9,519.39 = 3,747.78 : x
  2. Step 2: Convert to fraction form
    6,346.26/9,519.39 = 3,747.78/x
  3. Step 3: Cross multiply
    6,346.26x = 9,519.39 × 3,747.78
  4. Step 4: Simplify right side
    6,346.26x = 35,676,579.45
  5. Step 5: Solve for x
    x = 35,676,579.45/6,346.26
  6. Step 6: Final answer
    x = 5,621.67

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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.