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Finding the Fourth Proportional to 9,094.69, 13,634.43 and 2,850.76

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Solution

The fourth proportional to 9,094.69, 13,634.43 and 2,850.76 is: 4,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.69 : 13,634.43 = 2,850.76 : x
  2. Step 2: Convert to fraction form
    9,094.69/13,634.43 = 2,850.76/x
  3. Step 3: Cross multiply
    9,094.69x = 13,634.43 × 2,850.76
  4. Step 4: Simplify right side
    9,094.69x = 38,868,487.67
  5. Step 5: Solve for x
    x = 38,868,487.67/9,094.69
  6. Step 6: Final answer
    x = 4,273.76

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