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Finding the Fourth Proportional to 6,092.95, 9,138.27 and 2,969.82

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Solution

The fourth proportional to 6,092.95, 9,138.27 and 2,969.82 is: 4,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.95 : 9,138.27 = 2,969.82 : x
  2. Step 2: Convert to fraction form
    6,092.95/9,138.27 = 2,969.82/x
  3. Step 3: Cross multiply
    6,092.95x = 9,138.27 × 2,969.82
  4. Step 4: Simplify right side
    6,092.95x = 27,139,028.15
  5. Step 5: Solve for x
    x = 27,139,028.15/6,092.95
  6. Step 6: Final answer
    x = 4,454.17

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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.