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Finding the Fourth Proportional to 9,190.50, 12,682.17 and 5,212.25

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Solution

The fourth proportional to 9,190.50, 12,682.17 and 5,212.25 is: 7,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.50 : 12,682.17 = 5,212.25 : x
  2. Step 2: Convert to fraction form
    9,190.50/12,682.17 = 5,212.25/x
  3. Step 3: Cross multiply
    9,190.50x = 12,682.17 × 5,212.25
  4. Step 4: Simplify right side
    9,190.50x = 66,102,624.73
  5. Step 5: Solve for x
    x = 66,102,624.73/9,190.50
  6. Step 6: Final answer
    x = 7,192.50

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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.