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Finding the Fourth Proportional to 9,940.82, 14,913.03 and 4,094.24

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Solution

The fourth proportional to 9,940.82, 14,913.03 and 4,094.24 is: 6,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.82 : 14,913.03 = 4,094.24 : x
  2. Step 2: Convert to fraction form
    9,940.82/14,913.03 = 4,094.24/x
  3. Step 3: Cross multiply
    9,940.82x = 14,913.03 × 4,094.24
  4. Step 4: Simplify right side
    9,940.82x = 61,057,523.95
  5. Step 5: Solve for x
    x = 61,057,523.95/9,940.82
  6. Step 6: Final answer
    x = 6,142.10

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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.