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Finding the Fourth Proportional to 9,105.82, 12,568.16 and 5,571.99

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Solution

The fourth proportional to 9,105.82, 12,568.16 and 5,571.99 is: 7,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.82 : 12,568.16 = 5,571.99 : x
  2. Step 2: Convert to fraction form
    9,105.82/12,568.16 = 5,571.99/x
  3. Step 3: Cross multiply
    9,105.82x = 12,568.16 × 5,571.99
  4. Step 4: Simplify right side
    9,105.82x = 70,029,675.77
  5. Step 5: Solve for x
    x = 70,029,675.77/9,105.82
  6. Step 6: Final answer
    x = 7,690.65

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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.