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Finding the Fourth Proportional to 6,311.29, 9,464.01 and 3,020.77

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Solution

The fourth proportional to 6,311.29, 9,464.01 and 3,020.77 is: 4,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.29 : 9,464.01 = 3,020.77 : x
  2. Step 2: Convert to fraction form
    6,311.29/9,464.01 = 3,020.77/x
  3. Step 3: Cross multiply
    6,311.29x = 9,464.01 × 3,020.77
  4. Step 4: Simplify right side
    6,311.29x = 28,588,597.49
  5. Step 5: Solve for x
    x = 28,588,597.49/6,311.29
  6. Step 6: Final answer
    x = 4,529.76

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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.