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Finding the Fourth Proportional to 9,605.06, 14,414.07 and 3,365.12

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Solution

The fourth proportional to 9,605.06, 14,414.07 and 3,365.12 is: 5,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.06 : 14,414.07 = 3,365.12 : x
  2. Step 2: Convert to fraction form
    9,605.06/14,414.07 = 3,365.12/x
  3. Step 3: Cross multiply
    9,605.06x = 14,414.07 × 3,365.12
  4. Step 4: Simplify right side
    9,605.06x = 48,505,003.17
  5. Step 5: Solve for x
    x = 48,505,003.17/9,605.06
  6. Step 6: Final answer
    x = 5,049.95

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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.