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Finding the Fourth Proportional to 9,571.89, 13,206.05 and 5,793.62

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Solution

The fourth proportional to 9,571.89, 13,206.05 and 5,793.62 is: 7,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.89 : 13,206.05 = 5,793.62 : x
  2. Step 2: Convert to fraction form
    9,571.89/13,206.05 = 5,793.62/x
  3. Step 3: Cross multiply
    9,571.89x = 13,206.05 × 5,793.62
  4. Step 4: Simplify right side
    9,571.89x = 76,510,811.65
  5. Step 5: Solve for x
    x = 76,510,811.65/9,571.89
  6. Step 6: Final answer
    x = 7,993.28

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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.