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Finding the Fourth Proportional to 6,735.50, 9,293.58 and 3,902.71

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Solution

The fourth proportional to 6,735.50, 9,293.58 and 3,902.71 is: 5,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.50 : 9,293.58 = 3,902.71 : x
  2. Step 2: Convert to fraction form
    6,735.50/9,293.58 = 3,902.71/x
  3. Step 3: Cross multiply
    6,735.50x = 9,293.58 × 3,902.71
  4. Step 4: Simplify right side
    6,735.50x = 36,270,147.60
  5. Step 5: Solve for x
    x = 36,270,147.60/6,735.50
  6. Step 6: Final answer
    x = 5,384.92

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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.