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Finding the Fourth Proportional to 6,384.48, 9,576.62 and 3,097.86

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Solution

The fourth proportional to 6,384.48, 9,576.62 and 3,097.86 is: 4,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.48 : 9,576.62 = 3,097.86 : x
  2. Step 2: Convert to fraction form
    6,384.48/9,576.62 = 3,097.86/x
  3. Step 3: Cross multiply
    6,384.48x = 9,576.62 × 3,097.86
  4. Step 4: Simplify right side
    6,384.48x = 29,667,028.03
  5. Step 5: Solve for x
    x = 29,667,028.03/6,384.48
  6. Step 6: Final answer
    x = 4,646.74

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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.