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Finding the Fourth Proportional to 6,447.80, 9,671.70 and 6,255.80

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Solution

The fourth proportional to 6,447.80, 9,671.70 and 6,255.80 is: 9,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.80 : 9,671.70 = 6,255.80 : x
  2. Step 2: Convert to fraction form
    6,447.80/9,671.70 = 6,255.80/x
  3. Step 3: Cross multiply
    6,447.80x = 9,671.70 × 6,255.80
  4. Step 4: Simplify right side
    6,447.80x = 60,504,220.86
  5. Step 5: Solve for x
    x = 60,504,220.86/6,447.80
  6. Step 6: Final answer
    x = 9,383.70

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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.