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Finding the Fourth Proportional to 6,441.72, 8,889.41 and 4,199.33

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Solution

The fourth proportional to 6,441.72, 8,889.41 and 4,199.33 is: 5,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.72 : 8,889.41 = 4,199.33 : x
  2. Step 2: Convert to fraction form
    6,441.72/8,889.41 = 4,199.33/x
  3. Step 3: Cross multiply
    6,441.72x = 8,889.41 × 4,199.33
  4. Step 4: Simplify right side
    6,441.72x = 37,329,566.10
  5. Step 5: Solve for x
    x = 37,329,566.10/6,441.72
  6. Step 6: Final answer
    x = 5,794.97

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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.