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Finding the Fourth Proportional to 6,338.26, 8,749.20 and 5,673.91

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Solution

The fourth proportional to 6,338.26, 8,749.20 and 5,673.91 is: 7,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.26 : 8,749.20 = 5,673.91 : x
  2. Step 2: Convert to fraction form
    6,338.26/8,749.20 = 5,673.91/x
  3. Step 3: Cross multiply
    6,338.26x = 8,749.20 × 5,673.91
  4. Step 4: Simplify right side
    6,338.26x = 49,642,173.37
  5. Step 5: Solve for x
    x = 49,642,173.37/6,338.26
  6. Step 6: Final answer
    x = 7,832.15

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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.