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Finding the Fourth Proportional to 9,755.78, 14,633.69 and 5,622.80

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Solution

The fourth proportional to 9,755.78, 14,633.69 and 5,622.80 is: 8,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.78 : 14,633.69 = 5,622.80 : x
  2. Step 2: Convert to fraction form
    9,755.78/14,633.69 = 5,622.80/x
  3. Step 3: Cross multiply
    9,755.78x = 14,633.69 × 5,622.80
  4. Step 4: Simplify right side
    9,755.78x = 82,282,210.85
  5. Step 5: Solve for x
    x = 82,282,210.85/9,755.78
  6. Step 6: Final answer
    x = 8,434.21

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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.