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Finding the Fourth Proportional to 6,092.97, 9,139.79 and 1,933.31

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Solution

The fourth proportional to 6,092.97, 9,139.79 and 1,933.31 is: 2,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.97 : 9,139.79 = 1,933.31 : x
  2. Step 2: Convert to fraction form
    6,092.97/9,139.79 = 1,933.31/x
  3. Step 3: Cross multiply
    6,092.97x = 9,139.79 × 1,933.31
  4. Step 4: Simplify right side
    6,092.97x = 17,670,075.09
  5. Step 5: Solve for x
    x = 17,670,075.09/6,092.97
  6. Step 6: Final answer
    x = 2,900.08

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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.