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Finding the Fourth Proportional to 6,976.80, 9,628 and 3,833.12

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Solution

The fourth proportional to 6,976.80, 9,628 and 3,833.12 is: 5,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.80 : 9,628 = 3,833.12 : x
  2. Step 2: Convert to fraction form
    6,976.80/9,628 = 3,833.12/x
  3. Step 3: Cross multiply
    6,976.80x = 9,628 × 3,833.12
  4. Step 4: Simplify right side
    6,976.80x = 36,905,279.36
  5. Step 5: Solve for x
    x = 36,905,279.36/6,976.80
  6. Step 6: Final answer
    x = 5,289.71

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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.