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Finding the Fourth Proportional to 6,893.78, 9,513.14 and 3,749.96

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Solution

The fourth proportional to 6,893.78, 9,513.14 and 3,749.96 is: 5,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.78 : 9,513.14 = 3,749.96 : x
  2. Step 2: Convert to fraction form
    6,893.78/9,513.14 = 3,749.96/x
  3. Step 3: Cross multiply
    6,893.78x = 9,513.14 × 3,749.96
  4. Step 4: Simplify right side
    6,893.78x = 35,673,899.51
  5. Step 5: Solve for x
    x = 35,673,899.51/6,893.78
  6. Step 6: Final answer
    x = 5,174.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.