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Finding the Fourth Proportional to 6,914.92, 9,546.40 and 4,874.02

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Solution

The fourth proportional to 6,914.92, 9,546.40 and 4,874.02 is: 6,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.92 : 9,546.40 = 4,874.02 : x
  2. Step 2: Convert to fraction form
    6,914.92/9,546.40 = 4,874.02/x
  3. Step 3: Cross multiply
    6,914.92x = 9,546.40 × 4,874.02
  4. Step 4: Simplify right side
    6,914.92x = 46,529,344.53
  5. Step 5: Solve for x
    x = 46,529,344.53/6,914.92
  6. Step 6: Final answer
    x = 6,728.83

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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.