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Finding the Fourth Proportional to 9,620.97, 14,433.68 and 3,047.16

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Solution

The fourth proportional to 9,620.97, 14,433.68 and 3,047.16 is: 4,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.97 : 14,433.68 = 3,047.16 : x
  2. Step 2: Convert to fraction form
    9,620.97/14,433.68 = 3,047.16/x
  3. Step 3: Cross multiply
    9,620.97x = 14,433.68 × 3,047.16
  4. Step 4: Simplify right side
    9,620.97x = 43,981,717.11
  5. Step 5: Solve for x
    x = 43,981,717.11/9,620.97
  6. Step 6: Final answer
    x = 4,571.44

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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.