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Finding the Fourth Proportional to 6,571.36, 9,071.76 and 4,183.71

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Solution

The fourth proportional to 6,571.36, 9,071.76 and 4,183.71 is: 5,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.36 : 9,071.76 = 4,183.71 : x
  2. Step 2: Convert to fraction form
    6,571.36/9,071.76 = 4,183.71/x
  3. Step 3: Cross multiply
    6,571.36x = 9,071.76 × 4,183.71
  4. Step 4: Simplify right side
    6,571.36x = 37,953,613.03
  5. Step 5: Solve for x
    x = 37,953,613.03/6,571.36
  6. Step 6: Final answer
    x = 5,775.61

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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.