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Finding the Fourth Proportional to 6,760.35, 9,328.77 and 3,735.27

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Solution

The fourth proportional to 6,760.35, 9,328.77 and 3,735.27 is: 5,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.35 : 9,328.77 = 3,735.27 : x
  2. Step 2: Convert to fraction form
    6,760.35/9,328.77 = 3,735.27/x
  3. Step 3: Cross multiply
    6,760.35x = 9,328.77 × 3,735.27
  4. Step 4: Simplify right side
    6,760.35x = 34,845,474.72
  5. Step 5: Solve for x
    x = 34,845,474.72/6,760.35
  6. Step 6: Final answer
    x = 5,154.39

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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.