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Finding the Fourth Proportional to 9,105.66, 12,568.18 and 5,571.82

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Solution

The fourth proportional to 9,105.66, 12,568.18 and 5,571.82 is: 7,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.66 : 12,568.18 = 5,571.82 : x
  2. Step 2: Convert to fraction form
    9,105.66/12,568.18 = 5,571.82/x
  3. Step 3: Cross multiply
    9,105.66x = 12,568.18 × 5,571.82
  4. Step 4: Simplify right side
    9,105.66x = 70,027,636.69
  5. Step 5: Solve for x
    x = 70,027,636.69/9,105.66
  6. Step 6: Final answer
    x = 7,690.56

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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.