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Finding the Fourth Proportional to 9,813.67, 13,543.22 and 5,622.73

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Solution

The fourth proportional to 9,813.67, 13,543.22 and 5,622.73 is: 7,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.67 : 13,543.22 = 5,622.73 : x
  2. Step 2: Convert to fraction form
    9,813.67/13,543.22 = 5,622.73/x
  3. Step 3: Cross multiply
    9,813.67x = 13,543.22 × 5,622.73
  4. Step 4: Simplify right side
    9,813.67x = 76,149,869.39
  5. Step 5: Solve for x
    x = 76,149,869.39/9,813.67
  6. Step 6: Final answer
    x = 7,759.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.