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Finding the Fourth Proportional to 6,900.30, 9,524.56 and 3,918.12

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Solution

The fourth proportional to 6,900.30, 9,524.56 and 3,918.12 is: 5,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.30 : 9,524.56 = 3,918.12 : x
  2. Step 2: Convert to fraction form
    6,900.30/9,524.56 = 3,918.12/x
  3. Step 3: Cross multiply
    6,900.30x = 9,524.56 × 3,918.12
  4. Step 4: Simplify right side
    6,900.30x = 37,318,369.03
  5. Step 5: Solve for x
    x = 37,318,369.03/6,900.30
  6. Step 6: Final answer
    x = 5,408.22

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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.