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Finding the Fourth Proportional to 6,267.09, 8,648.59 and 3,749.31

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Solution

The fourth proportional to 6,267.09, 8,648.59 and 3,749.31 is: 5,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.09 : 8,648.59 = 3,749.31 : x
  2. Step 2: Convert to fraction form
    6,267.09/8,648.59 = 3,749.31/x
  3. Step 3: Cross multiply
    6,267.09x = 8,648.59 × 3,749.31
  4. Step 4: Simplify right side
    6,267.09x = 32,426,249.66
  5. Step 5: Solve for x
    x = 32,426,249.66/6,267.09
  6. Step 6: Final answer
    x = 5,174.05

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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.