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Finding the Fourth Proportional to 6,467.90, 9,688.01 and 3,693.10

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Solution

The fourth proportional to 6,467.90, 9,688.01 and 3,693.10 is: 5,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.90 : 9,688.01 = 3,693.10 : x
  2. Step 2: Convert to fraction form
    6,467.90/9,688.01 = 3,693.10/x
  3. Step 3: Cross multiply
    6,467.90x = 9,688.01 × 3,693.10
  4. Step 4: Simplify right side
    6,467.90x = 35,778,789.73
  5. Step 5: Solve for x
    x = 35,778,789.73/6,467.90
  6. Step 6: Final answer
    x = 5,531.75

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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.