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Finding the Fourth Proportional to 6,384.16, 9,576.24 and 3,305.44

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Solution

The fourth proportional to 6,384.16, 9,576.24 and 3,305.44 is: 4,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.16 : 9,576.24 = 3,305.44 : x
  2. Step 2: Convert to fraction form
    6,384.16/9,576.24 = 3,305.44/x
  3. Step 3: Cross multiply
    6,384.16x = 9,576.24 × 3,305.44
  4. Step 4: Simplify right side
    6,384.16x = 31,653,686.75
  5. Step 5: Solve for x
    x = 31,653,686.75/6,384.16
  6. Step 6: Final answer
    x = 4,958.16

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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.