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Finding the Fourth Proportional to 6,835.12, 9,433.67 and 6,523.47

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Solution

The fourth proportional to 6,835.12, 9,433.67 and 6,523.47 is: 9,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.12 : 9,433.67 = 6,523.47 : x
  2. Step 2: Convert to fraction form
    6,835.12/9,433.67 = 6,523.47/x
  3. Step 3: Cross multiply
    6,835.12x = 9,433.67 × 6,523.47
  4. Step 4: Simplify right side
    6,835.12x = 61,540,230.62
  5. Step 5: Solve for x
    x = 61,540,230.62/6,835.12
  6. Step 6: Final answer
    x = 9,003.54

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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.