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Finding the Fourth Proportional to 9,310.66, 13,962.21 and 3,467.68

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Solution

The fourth proportional to 9,310.66, 13,962.21 and 3,467.68 is: 5,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.66 : 13,962.21 = 3,467.68 : x
  2. Step 2: Convert to fraction form
    9,310.66/13,962.21 = 3,467.68/x
  3. Step 3: Cross multiply
    9,310.66x = 13,962.21 × 3,467.68
  4. Step 4: Simplify right side
    9,310.66x = 48,416,476.37
  5. Step 5: Solve for x
    x = 48,416,476.37/9,310.66
  6. Step 6: Final answer
    x = 5,200.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.