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Finding the Fourth Proportional to 6,093.09, 9,138.22 and 1,932.32

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Solution

The fourth proportional to 6,093.09, 9,138.22 and 1,932.32 is: 2,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.09 : 9,138.22 = 1,932.32 : x
  2. Step 2: Convert to fraction form
    6,093.09/9,138.22 = 1,932.32/x
  3. Step 3: Cross multiply
    6,093.09x = 9,138.22 × 1,932.32
  4. Step 4: Simplify right side
    6,093.09x = 17,657,965.27
  5. Step 5: Solve for x
    x = 17,657,965.27/6,093.09
  6. Step 6: Final answer
    x = 2,898.03

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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.