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Finding the Fourth Proportional to 9,273, 13,910.94 and 3,118.44

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Solution

The fourth proportional to 9,273, 13,910.94 and 3,118.44 is: 4,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273 : 13,910.94 = 3,118.44 : x
  2. Step 2: Convert to fraction form
    9,273/13,910.94 = 3,118.44/x
  3. Step 3: Cross multiply
    9,273x = 13,910.94 × 3,118.44
  4. Step 4: Simplify right side
    9,273x = 43,380,431.73
  5. Step 5: Solve for x
    x = 43,380,431.73/9,273
  6. Step 6: Final answer
    x = 4,678.14

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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.