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Finding the Fourth Proportional to 6,762, 9,331.68 and 3,967.44

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Solution

The fourth proportional to 6,762, 9,331.68 and 3,967.44 is: 5,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762 : 9,331.68 = 3,967.44 : x
  2. Step 2: Convert to fraction form
    6,762/9,331.68 = 3,967.44/x
  3. Step 3: Cross multiply
    6,762x = 9,331.68 × 3,967.44
  4. Step 4: Simplify right side
    6,762x = 37,022,880.50
  5. Step 5: Solve for x
    x = 37,022,880.50/6,762
  6. Step 6: Final answer
    x = 5,475.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.