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Finding the Fourth Proportional to 6,586.86, 9,090.99 and 3,793.98

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Solution

The fourth proportional to 6,586.86, 9,090.99 and 3,793.98 is: 5,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.86 : 9,090.99 = 3,793.98 : x
  2. Step 2: Convert to fraction form
    6,586.86/9,090.99 = 3,793.98/x
  3. Step 3: Cross multiply
    6,586.86x = 9,090.99 × 3,793.98
  4. Step 4: Simplify right side
    6,586.86x = 34,491,034.24
  5. Step 5: Solve for x
    x = 34,491,034.24/6,586.86
  6. Step 6: Final answer
    x = 5,236.34

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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.