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Finding the Fourth Proportional to 9,092.33, 12,550.74 and 5,737.34

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Solution

The fourth proportional to 9,092.33, 12,550.74 and 5,737.34 is: 7,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.33 : 12,550.74 = 5,737.34 : x
  2. Step 2: Convert to fraction form
    9,092.33/12,550.74 = 5,737.34/x
  3. Step 3: Cross multiply
    9,092.33x = 12,550.74 × 5,737.34
  4. Step 4: Simplify right side
    9,092.33x = 72,007,834.17
  5. Step 5: Solve for x
    x = 72,007,834.17/9,092.33
  6. Step 6: Final answer
    x = 7,919.62

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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.