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Finding the Fourth Proportional to 6,213.66, 9,305.28 and 4,015.77

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Solution

The fourth proportional to 6,213.66, 9,305.28 and 4,015.77 is: 6,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.66 : 9,305.28 = 4,015.77 : x
  2. Step 2: Convert to fraction form
    6,213.66/9,305.28 = 4,015.77/x
  3. Step 3: Cross multiply
    6,213.66x = 9,305.28 × 4,015.77
  4. Step 4: Simplify right side
    6,213.66x = 37,367,864.27
  5. Step 5: Solve for x
    x = 37,367,864.27/6,213.66
  6. Step 6: Final answer
    x = 6,013.83

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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.