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Finding the Fourth Proportional to 6,384.65, 9,576.68 and 1,704.56

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Solution

The fourth proportional to 6,384.65, 9,576.68 and 1,704.56 is: 2,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.65 : 9,576.68 = 1,704.56 : x
  2. Step 2: Convert to fraction form
    6,384.65/9,576.68 = 1,704.56/x
  3. Step 3: Cross multiply
    6,384.65x = 9,576.68 × 1,704.56
  4. Step 4: Simplify right side
    6,384.65x = 16,323,969.25
  5. Step 5: Solve for x
    x = 16,323,969.25/6,384.65
  6. Step 6: Final answer
    x = 2,556.75

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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.