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Finding the Fourth Proportional to 6,351.32, 9,521.77 and 3,186.66

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Solution

The fourth proportional to 6,351.32, 9,521.77 and 3,186.66 is: 4,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.32 : 9,521.77 = 3,186.66 : x
  2. Step 2: Convert to fraction form
    6,351.32/9,521.77 = 3,186.66/x
  3. Step 3: Cross multiply
    6,351.32x = 9,521.77 × 3,186.66
  4. Step 4: Simplify right side
    6,351.32x = 30,342,635.62
  5. Step 5: Solve for x
    x = 30,342,635.62/6,351.32
  6. Step 6: Final answer
    x = 4,777.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.