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Finding the Fourth Proportional to 9,626.63, 14,439.94 and 3,470.63

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Solution

The fourth proportional to 9,626.63, 14,439.94 and 3,470.63 is: 5,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.63 : 14,439.94 = 3,470.63 : x
  2. Step 2: Convert to fraction form
    9,626.63/14,439.94 = 3,470.63/x
  3. Step 3: Cross multiply
    9,626.63x = 14,439.94 × 3,470.63
  4. Step 4: Simplify right side
    9,626.63x = 50,115,608.09
  5. Step 5: Solve for x
    x = 50,115,608.09/9,626.63
  6. Step 6: Final answer
    x = 5,205.94

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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.