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Finding the Fourth Proportional to 6,134.13, 9,205.80 and 4,494.90

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Solution

The fourth proportional to 6,134.13, 9,205.80 and 4,494.90 is: 6,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.13 : 9,205.80 = 4,494.90 : x
  2. Step 2: Convert to fraction form
    6,134.13/9,205.80 = 4,494.90/x
  3. Step 3: Cross multiply
    6,134.13x = 9,205.80 × 4,494.90
  4. Step 4: Simplify right side
    6,134.13x = 41,379,150.42
  5. Step 5: Solve for x
    x = 41,379,150.42/6,134.13
  6. Step 6: Final answer
    x = 6,745.72

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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.