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Finding the Fourth Proportional to 6,546.15, 9,813.41 and 2,385.38

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Solution

The fourth proportional to 6,546.15, 9,813.41 and 2,385.38 is: 3,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.15 : 9,813.41 = 2,385.38 : x
  2. Step 2: Convert to fraction form
    6,546.15/9,813.41 = 2,385.38/x
  3. Step 3: Cross multiply
    6,546.15x = 9,813.41 × 2,385.38
  4. Step 4: Simplify right side
    6,546.15x = 23,408,650.95
  5. Step 5: Solve for x
    x = 23,408,650.95/6,546.15
  6. Step 6: Final answer
    x = 3,575.94

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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.