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Finding the Fourth Proportional to 6,467.46, 9,699.56 and 2,517.36

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Solution

The fourth proportional to 6,467.46, 9,699.56 and 2,517.36 is: 3,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.46 : 9,699.56 = 2,517.36 : x
  2. Step 2: Convert to fraction form
    6,467.46/9,699.56 = 2,517.36/x
  3. Step 3: Cross multiply
    6,467.46x = 9,699.56 × 2,517.36
  4. Step 4: Simplify right side
    6,467.46x = 24,417,284.36
  5. Step 5: Solve for x
    x = 24,417,284.36/6,467.46
  6. Step 6: Final answer
    x = 3,775.41

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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.