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Finding the Fourth Proportional to 6,725.94, 9,279.24 and 4,961.76

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Solution

The fourth proportional to 6,725.94, 9,279.24 and 4,961.76 is: 6,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.94 : 9,279.24 = 4,961.76 : x
  2. Step 2: Convert to fraction form
    6,725.94/9,279.24 = 4,961.76/x
  3. Step 3: Cross multiply
    6,725.94x = 9,279.24 × 4,961.76
  4. Step 4: Simplify right side
    6,725.94x = 46,041,361.86
  5. Step 5: Solve for x
    x = 46,041,361.86/6,725.94
  6. Step 6: Final answer
    x = 6,845.34

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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.