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Finding the Fourth Proportional to 6,735.21, 9,294.26 and 3,751.31

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Solution

The fourth proportional to 6,735.21, 9,294.26 and 3,751.31 is: 5,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.21 : 9,294.26 = 3,751.31 : x
  2. Step 2: Convert to fraction form
    6,735.21/9,294.26 = 3,751.31/x
  3. Step 3: Cross multiply
    6,735.21x = 9,294.26 × 3,751.31
  4. Step 4: Simplify right side
    6,735.21x = 34,865,585.25
  5. Step 5: Solve for x
    x = 34,865,585.25/6,735.21
  6. Step 6: Final answer
    x = 5,176.61

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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.