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Finding the Fourth Proportional to 6,857.09, 9,462.74 and 3,713.25

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Solution

The fourth proportional to 6,857.09, 9,462.74 and 3,713.25 is: 5,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.09 : 9,462.74 = 3,713.25 : x
  2. Step 2: Convert to fraction form
    6,857.09/9,462.74 = 3,713.25/x
  3. Step 3: Cross multiply
    6,857.09x = 9,462.74 × 3,713.25
  4. Step 4: Simplify right side
    6,857.09x = 35,137,500.74
  5. Step 5: Solve for x
    x = 35,137,500.74/6,857.09
  6. Step 6: Final answer
    x = 5,124.26

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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.