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Finding the Fourth Proportional to 6,760.36, 9,329.34 and 3,776.32

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Solution

The fourth proportional to 6,760.36, 9,329.34 and 3,776.32 is: 5,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.36 : 9,329.34 = 3,776.32 : x
  2. Step 2: Convert to fraction form
    6,760.36/9,329.34 = 3,776.32/x
  3. Step 3: Cross multiply
    6,760.36x = 9,329.34 × 3,776.32
  4. Step 4: Simplify right side
    6,760.36x = 35,230,554.35
  5. Step 5: Solve for x
    x = 35,230,554.35/6,760.36
  6. Step 6: Final answer
    x = 5,211.34

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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.