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Finding the Fourth Proportional to 8,204.78, 12,289.71 and 4,297.34

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Solution

The fourth proportional to 8,204.78, 12,289.71 and 4,297.34 is: 6,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.78 : 12,289.71 = 4,297.34 : x
  2. Step 2: Convert to fraction form
    8,204.78/12,289.71 = 4,297.34/x
  3. Step 3: Cross multiply
    8,204.78x = 12,289.71 × 4,297.34
  4. Step 4: Simplify right side
    8,204.78x = 52,813,062.37
  5. Step 5: Solve for x
    x = 52,813,062.37/8,204.78
  6. Step 6: Final answer
    x = 6,436.87

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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.