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Finding the Fourth Proportional to 6,976.88, 9,628.16 and 3,833.13

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Solution

The fourth proportional to 6,976.88, 9,628.16 and 3,833.13 is: 5,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.88 : 9,628.16 = 3,833.13 : x
  2. Step 2: Convert to fraction form
    6,976.88/9,628.16 = 3,833.13/x
  3. Step 3: Cross multiply
    6,976.88x = 9,628.16 × 3,833.13
  4. Step 4: Simplify right side
    6,976.88x = 36,905,988.94
  5. Step 5: Solve for x
    x = 36,905,988.94/6,976.88
  6. Step 6: Final answer
    x = 5,289.76

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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.