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Finding the Fourth Proportional to 6,705.57, 9,253.79 and 3,680.94

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Solution

The fourth proportional to 6,705.57, 9,253.79 and 3,680.94 is: 5,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.57 : 9,253.79 = 3,680.94 : x
  2. Step 2: Convert to fraction form
    6,705.57/9,253.79 = 3,680.94/x
  3. Step 3: Cross multiply
    6,705.57x = 9,253.79 × 3,680.94
  4. Step 4: Simplify right side
    6,705.57x = 34,062,627.36
  5. Step 5: Solve for x
    x = 34,062,627.36/6,705.57
  6. Step 6: Final answer
    x = 5,079.75

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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.