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Finding the Fourth Proportional to 6,707.25, 9,255.78 and 3,874.59

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Solution

The fourth proportional to 6,707.25, 9,255.78 and 3,874.59 is: 5,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.25 : 9,255.78 = 3,874.59 : x
  2. Step 2: Convert to fraction form
    6,707.25/9,255.78 = 3,874.59/x
  3. Step 3: Cross multiply
    6,707.25x = 9,255.78 × 3,874.59
  4. Step 4: Simplify right side
    6,707.25x = 35,862,352.63
  5. Step 5: Solve for x
    x = 35,862,352.63/6,707.25
  6. Step 6: Final answer
    x = 5,346.80

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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.