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Finding the Fourth Proportional to 6,760.40, 9,329.38 and 3,776.36

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Solution

The fourth proportional to 6,760.40, 9,329.38 and 3,776.36 is: 5,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.40 : 9,329.38 = 3,776.36 : x
  2. Step 2: Convert to fraction form
    6,760.40/9,329.38 = 3,776.36/x
  3. Step 3: Cross multiply
    6,760.40x = 9,329.38 × 3,776.36
  4. Step 4: Simplify right side
    6,760.40x = 35,231,041.37
  5. Step 5: Solve for x
    x = 35,231,041.37/6,760.40
  6. Step 6: Final answer
    x = 5,211.39

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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.