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Finding the Fourth Proportional to 7,609.49, 11,415.14 and 3,226.38

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Solution

The fourth proportional to 7,609.49, 11,415.14 and 3,226.38 is: 4,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.49 : 11,415.14 = 3,226.38 : x
  2. Step 2: Convert to fraction form
    7,609.49/11,415.14 = 3,226.38/x
  3. Step 3: Cross multiply
    7,609.49x = 11,415.14 × 3,226.38
  4. Step 4: Simplify right side
    7,609.49x = 36,829,530.38
  5. Step 5: Solve for x
    x = 36,829,530.38/7,609.49
  6. Step 6: Final answer
    x = 4,839.95

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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.