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Finding the Fourth Proportional to 6,976.73, 9,629.01 and 5,385.68

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Solution

The fourth proportional to 6,976.73, 9,629.01 and 5,385.68 is: 7,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.73 : 9,629.01 = 5,385.68 : x
  2. Step 2: Convert to fraction form
    6,976.73/9,629.01 = 5,385.68/x
  3. Step 3: Cross multiply
    6,976.73x = 9,629.01 × 5,385.68
  4. Step 4: Simplify right side
    6,976.73x = 51,858,718.43
  5. Step 5: Solve for x
    x = 51,858,718.43/6,976.73
  6. Step 6: Final answer
    x = 7,433.10

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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.