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Finding the Fourth Proportional to 6,093.99, 8,404.80 and 4,205.13

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Solution

The fourth proportional to 6,093.99, 8,404.80 and 4,205.13 is: 5,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.99 : 8,404.80 = 4,205.13 : x
  2. Step 2: Convert to fraction form
    6,093.99/8,404.80 = 4,205.13/x
  3. Step 3: Cross multiply
    6,093.99x = 8,404.80 × 4,205.13
  4. Step 4: Simplify right side
    6,093.99x = 35,343,276.62
  5. Step 5: Solve for x
    x = 35,343,276.62/6,093.99
  6. Step 6: Final answer
    x = 5,799.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.