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Finding the Fourth Proportional to 6,976.94, 9,628.05 and 3,833.06

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Solution

The fourth proportional to 6,976.94, 9,628.05 and 3,833.06 is: 5,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.94 : 9,628.05 = 3,833.06 : x
  2. Step 2: Convert to fraction form
    6,976.94/9,628.05 = 3,833.06/x
  3. Step 3: Cross multiply
    6,976.94x = 9,628.05 × 3,833.06
  4. Step 4: Simplify right side
    6,976.94x = 36,904,917.40
  5. Step 5: Solve for x
    x = 36,904,917.40/6,976.94
  6. Step 6: Final answer
    x = 5,289.55

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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.