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Finding the Fourth Proportional to 6,384.20, 9,596.81 and 5,927.66

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Solution

The fourth proportional to 6,384.20, 9,596.81 and 5,927.66 is: 8,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.20 : 9,596.81 = 5,927.66 : x
  2. Step 2: Convert to fraction form
    6,384.20/9,596.81 = 5,927.66/x
  3. Step 3: Cross multiply
    6,384.20x = 9,596.81 × 5,927.66
  4. Step 4: Simplify right side
    6,384.20x = 56,886,621.12
  5. Step 5: Solve for x
    x = 56,886,621.12/6,384.20
  6. Step 6: Final answer
    x = 8,910.53

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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.