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Finding the Fourth Proportional to 6,346.84, 9,519.32 and 2,450.76

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Solution

The fourth proportional to 6,346.84, 9,519.32 and 2,450.76 is: 3,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.84 : 9,519.32 = 2,450.76 : x
  2. Step 2: Convert to fraction form
    6,346.84/9,519.32 = 2,450.76/x
  3. Step 3: Cross multiply
    6,346.84x = 9,519.32 × 2,450.76
  4. Step 4: Simplify right side
    6,346.84x = 23,329,568.68
  5. Step 5: Solve for x
    x = 23,329,568.68/6,346.84
  6. Step 6: Final answer
    x = 3,675.78

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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.