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Finding the Fourth Proportional to 6,467.66, 9,705.75 and 3,548.02

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Solution

The fourth proportional to 6,467.66, 9,705.75 and 3,548.02 is: 5,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.66 : 9,705.75 = 3,548.02 : x
  2. Step 2: Convert to fraction form
    6,467.66/9,705.75 = 3,548.02/x
  3. Step 3: Cross multiply
    6,467.66x = 9,705.75 × 3,548.02
  4. Step 4: Simplify right side
    6,467.66x = 34,436,195.12
  5. Step 5: Solve for x
    x = 34,436,195.12/6,467.66
  6. Step 6: Final answer
    x = 5,324.37

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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.