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Finding the Fourth Proportional to 6,385.96, 9,575.22 and 2,485.78

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Solution

The fourth proportional to 6,385.96, 9,575.22 and 2,485.78 is: 3,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.96 : 9,575.22 = 2,485.78 : x
  2. Step 2: Convert to fraction form
    6,385.96/9,575.22 = 2,485.78/x
  3. Step 3: Cross multiply
    6,385.96x = 9,575.22 × 2,485.78
  4. Step 4: Simplify right side
    6,385.96x = 23,801,890.37
  5. Step 5: Solve for x
    x = 23,801,890.37/6,385.96
  6. Step 6: Final answer
    x = 3,727.22

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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.