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Finding the Fourth Proportional to 9,633.98, 14,443.71 and 5,255.18

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Solution

The fourth proportional to 9,633.98, 14,443.71 and 5,255.18 is: 7,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.98 : 14,443.71 = 5,255.18 : x
  2. Step 2: Convert to fraction form
    9,633.98/14,443.71 = 5,255.18/x
  3. Step 3: Cross multiply
    9,633.98x = 14,443.71 × 5,255.18
  4. Step 4: Simplify right side
    9,633.98x = 75,904,295.92
  5. Step 5: Solve for x
    x = 75,904,295.92/9,633.98
  6. Step 6: Final answer
    x = 7,878.81

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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.