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Finding the Fourth Proportional to 9,092.34, 13,623.93 and 8,217.54

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Solution

The fourth proportional to 9,092.34, 13,623.93 and 8,217.54 is: 12,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.34 : 13,623.93 = 8,217.54 : x
  2. Step 2: Convert to fraction form
    9,092.34/13,623.93 = 8,217.54/x
  3. Step 3: Cross multiply
    9,092.34x = 13,623.93 × 8,217.54
  4. Step 4: Simplify right side
    9,092.34x = 111,955,189.73
  5. Step 5: Solve for x
    x = 111,955,189.73/9,092.34
  6. Step 6: Final answer
    x = 12,313.13

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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.