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Finding the Fourth Proportional to 6,760.32, 9,329.74 and 3,776.28

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Solution

The fourth proportional to 6,760.32, 9,329.74 and 3,776.28 is: 5,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.32 : 9,329.74 = 3,776.28 : x
  2. Step 2: Convert to fraction form
    6,760.32/9,329.74 = 3,776.28/x
  3. Step 3: Cross multiply
    6,760.32x = 9,329.74 × 3,776.28
  4. Step 4: Simplify right side
    6,760.32x = 35,231,710.57
  5. Step 5: Solve for x
    x = 35,231,710.57/6,760.32
  6. Step 6: Final answer
    x = 5,211.54

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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.