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Finding the Fourth Proportional to 6,958.09, 9,602.06 and 3,771.31

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Solution

The fourth proportional to 6,958.09, 9,602.06 and 3,771.31 is: 5,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.09 : 9,602.06 = 3,771.31 : x
  2. Step 2: Convert to fraction form
    6,958.09/9,602.06 = 3,771.31/x
  3. Step 3: Cross multiply
    6,958.09x = 9,602.06 × 3,771.31
  4. Step 4: Simplify right side
    6,958.09x = 36,212,344.90
  5. Step 5: Solve for x
    x = 36,212,344.90/6,958.09
  6. Step 6: Final answer
    x = 5,204.35

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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.