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Finding the Fourth Proportional to 6,493.35, 9,745.47 and 3,375.27

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Solution

The fourth proportional to 6,493.35, 9,745.47 and 3,375.27 is: 5,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.35 : 9,745.47 = 3,375.27 : x
  2. Step 2: Convert to fraction form
    6,493.35/9,745.47 = 3,375.27/x
  3. Step 3: Cross multiply
    6,493.35x = 9,745.47 × 3,375.27
  4. Step 4: Simplify right side
    6,493.35x = 32,893,592.53
  5. Step 5: Solve for x
    x = 32,893,592.53/6,493.35
  6. Step 6: Final answer
    x = 5,065.74

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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.