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Finding the Fourth Proportional to 9,173.25, 13,717.82 and 6,834.85

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Solution

The fourth proportional to 9,173.25, 13,717.82 and 6,834.85 is: 10,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.25 : 13,717.82 = 6,834.85 : x
  2. Step 2: Convert to fraction form
    9,173.25/13,717.82 = 6,834.85/x
  3. Step 3: Cross multiply
    9,173.25x = 13,717.82 × 6,834.85
  4. Step 4: Simplify right side
    9,173.25x = 93,759,224.82
  5. Step 5: Solve for x
    x = 93,759,224.82/9,173.25
  6. Step 6: Final answer
    x = 10,220.94

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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.