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Finding the Fourth Proportional to 6,893.60, 9,513.34 and 3,749.80

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Solution

The fourth proportional to 6,893.60, 9,513.34 and 3,749.80 is: 5,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.60 : 9,513.34 = 3,749.80 : x
  2. Step 2: Convert to fraction form
    6,893.60/9,513.34 = 3,749.80/x
  3. Step 3: Cross multiply
    6,893.60x = 9,513.34 × 3,749.80
  4. Step 4: Simplify right side
    6,893.60x = 35,673,122.33
  5. Step 5: Solve for x
    x = 35,673,122.33/6,893.60
  6. Step 6: Final answer
    x = 5,174.82

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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.