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Finding the Fourth Proportional to 6,093.70, 9,141.40 and 2,145.48

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Solution

The fourth proportional to 6,093.70, 9,141.40 and 2,145.48 is: 3,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.70 : 9,141.40 = 2,145.48 : x
  2. Step 2: Convert to fraction form
    6,093.70/9,141.40 = 2,145.48/x
  3. Step 3: Cross multiply
    6,093.70x = 9,141.40 × 2,145.48
  4. Step 4: Simplify right side
    6,093.70x = 19,612,690.87
  5. Step 5: Solve for x
    x = 19,612,690.87/6,093.70
  6. Step 6: Final answer
    x = 3,218.52

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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.