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Finding the Fourth Proportional to 6,361.46, 9,546.75 and 4,713.04

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Solution

The fourth proportional to 6,361.46, 9,546.75 and 4,713.04 is: 7,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.46 : 9,546.75 = 4,713.04 : x
  2. Step 2: Convert to fraction form
    6,361.46/9,546.75 = 4,713.04/x
  3. Step 3: Cross multiply
    6,361.46x = 9,546.75 × 4,713.04
  4. Step 4: Simplify right side
    6,361.46x = 44,994,191.05
  5. Step 5: Solve for x
    x = 44,994,191.05/6,361.46
  6. Step 6: Final answer
    x = 7,072.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.