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Finding the Fourth Proportional to 6,384.10, 9,576.15 and 3,468.10

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Solution

The fourth proportional to 6,384.10, 9,576.15 and 3,468.10 is: 5,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.10 : 9,576.15 = 3,468.10 : x
  2. Step 2: Convert to fraction form
    6,384.10/9,576.15 = 3,468.10/x
  3. Step 3: Cross multiply
    6,384.10x = 9,576.15 × 3,468.10
  4. Step 4: Simplify right side
    6,384.10x = 33,211,045.82
  5. Step 5: Solve for x
    x = 33,211,045.82/6,384.10
  6. Step 6: Final answer
    x = 5,202.15

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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.