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Finding the Fourth Proportional to 9,906.37, 14,851.37 and 4,638.78

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Solution

The fourth proportional to 9,906.37, 14,851.37 and 4,638.78 is: 6,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.37 : 14,851.37 = 4,638.78 : x
  2. Step 2: Convert to fraction form
    9,906.37/14,851.37 = 4,638.78/x
  3. Step 3: Cross multiply
    9,906.37x = 14,851.37 × 4,638.78
  4. Step 4: Simplify right side
    9,906.37x = 68,892,249.73
  5. Step 5: Solve for x
    x = 68,892,249.73/9,906.37
  6. Step 6: Final answer
    x = 6,954.34

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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.