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Finding the Fourth Proportional to 6,586.75, 9,089.72 and 3,793.87

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Solution

The fourth proportional to 6,586.75, 9,089.72 and 3,793.87 is: 5,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.75 : 9,089.72 = 3,793.87 : x
  2. Step 2: Convert to fraction form
    6,586.75/9,089.72 = 3,793.87/x
  3. Step 3: Cross multiply
    6,586.75x = 9,089.72 × 3,793.87
  4. Step 4: Simplify right side
    6,586.75x = 34,485,216.02
  5. Step 5: Solve for x
    x = 34,485,216.02/6,586.75
  6. Step 6: Final answer
    x = 5,235.54

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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.