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Finding the Fourth Proportional to 6,267.78, 8,646.89 and 3,749.09

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Solution

The fourth proportional to 6,267.78, 8,646.89 and 3,749.09 is: 5,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.78 : 8,646.89 = 3,749.09 : x
  2. Step 2: Convert to fraction form
    6,267.78/8,646.89 = 3,749.09/x
  3. Step 3: Cross multiply
    6,267.78x = 8,646.89 × 3,749.09
  4. Step 4: Simplify right side
    6,267.78x = 32,417,906.85
  5. Step 5: Solve for x
    x = 32,417,906.85/6,267.78
  6. Step 6: Final answer
    x = 5,172.15

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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.