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Finding the Fourth Proportional to 9,021.92, 13,534.92 and 4,092.96

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Solution

The fourth proportional to 9,021.92, 13,534.92 and 4,092.96 is: 6,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.92 : 13,534.92 = 4,092.96 : x
  2. Step 2: Convert to fraction form
    9,021.92/13,534.92 = 4,092.96/x
  3. Step 3: Cross multiply
    9,021.92x = 13,534.92 × 4,092.96
  4. Step 4: Simplify right side
    9,021.92x = 55,397,948.43
  5. Step 5: Solve for x
    x = 55,397,948.43/9,021.92
  6. Step 6: Final answer
    x = 6,140.38

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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.