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Finding the Fourth Proportional to 9,355.34, 12,910.20 and 5,163.50

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Solution

The fourth proportional to 9,355.34, 12,910.20 and 5,163.50 is: 7,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.34 : 12,910.20 = 5,163.50 : x
  2. Step 2: Convert to fraction form
    9,355.34/12,910.20 = 5,163.50/x
  3. Step 3: Cross multiply
    9,355.34x = 12,910.20 × 5,163.50
  4. Step 4: Simplify right side
    9,355.34x = 66,661,817.70
  5. Step 5: Solve for x
    x = 66,661,817.70/9,355.34
  6. Step 6: Final answer
    x = 7,125.54

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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.