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Finding the Fourth Proportional to 6,267.71, 8,647.16 and 3,749.90

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Solution

The fourth proportional to 6,267.71, 8,647.16 and 3,749.90 is: 5,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.71 : 8,647.16 = 3,749.90 : x
  2. Step 2: Convert to fraction form
    6,267.71/8,647.16 = 3,749.90/x
  3. Step 3: Cross multiply
    6,267.71x = 8,647.16 × 3,749.90
  4. Step 4: Simplify right side
    6,267.71x = 32,425,923.30
  5. Step 5: Solve for x
    x = 32,425,923.30/6,267.71
  6. Step 6: Final answer
    x = 5,173.49

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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.