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Finding the Fourth Proportional to 6,733.22, 9,291.85 and 3,749.63

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Solution

The fourth proportional to 6,733.22, 9,291.85 and 3,749.63 is: 5,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.22 : 9,291.85 = 3,749.63 : x
  2. Step 2: Convert to fraction form
    6,733.22/9,291.85 = 3,749.63/x
  3. Step 3: Cross multiply
    6,733.22x = 9,291.85 × 3,749.63
  4. Step 4: Simplify right side
    6,733.22x = 34,840,943.68
  5. Step 5: Solve for x
    x = 34,840,943.68/6,733.22
  6. Step 6: Final answer
    x = 5,174.49

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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.