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Finding the Fourth Proportional to 6,733.58, 9,291.87 and 3,749.33

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Solution

The fourth proportional to 6,733.58, 9,291.87 and 3,749.33 is: 5,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.58 : 9,291.87 = 3,749.33 : x
  2. Step 2: Convert to fraction form
    6,733.58/9,291.87 = 3,749.33/x
  3. Step 3: Cross multiply
    6,733.58x = 9,291.87 × 3,749.33
  4. Step 4: Simplify right side
    6,733.58x = 34,838,240.49
  5. Step 5: Solve for x
    x = 34,838,240.49/6,733.58
  6. Step 6: Final answer
    x = 5,173.81

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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.