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Finding the Fourth Proportional to 9,218.72, 12,738.84 and 6,976.64

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Solution

The fourth proportional to 9,218.72, 12,738.84 and 6,976.64 is: 9,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.72 : 12,738.84 = 6,976.64 : x
  2. Step 2: Convert to fraction form
    9,218.72/12,738.84 = 6,976.64/x
  3. Step 3: Cross multiply
    9,218.72x = 12,738.84 × 6,976.64
  4. Step 4: Simplify right side
    9,218.72x = 88,874,300.70
  5. Step 5: Solve for x
    x = 88,874,300.70/9,218.72
  6. Step 6: Final answer
    x = 9,640.63

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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.