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Finding the Fourth Proportional to 9,796.05, 14,691.11 and 2,775.51

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Solution

The fourth proportional to 9,796.05, 14,691.11 and 2,775.51 is: 4,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.05 : 14,691.11 = 2,775.51 : x
  2. Step 2: Convert to fraction form
    9,796.05/14,691.11 = 2,775.51/x
  3. Step 3: Cross multiply
    9,796.05x = 14,691.11 × 2,775.51
  4. Step 4: Simplify right side
    9,796.05x = 40,775,308.84
  5. Step 5: Solve for x
    x = 40,775,308.84/9,796.05
  6. Step 6: Final answer
    x = 4,162.42

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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.