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Finding the Fourth Proportional to 6,835.52, 9,433.92 and 3,852

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Solution

The fourth proportional to 6,835.52, 9,433.92 and 3,852 is: 5,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.52 : 9,433.92 = 3,852 : x
  2. Step 2: Convert to fraction form
    6,835.52/9,433.92 = 3,852/x
  3. Step 3: Cross multiply
    6,835.52x = 9,433.92 × 3,852
  4. Step 4: Simplify right side
    6,835.52x = 36,339,459.84
  5. Step 5: Solve for x
    x = 36,339,459.84/6,835.52
  6. Step 6: Final answer
    x = 5,316.27

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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.