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Finding the Fourth Proportional to 9,645.54, 14,467.68 and 3,076.44

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Solution

The fourth proportional to 9,645.54, 14,467.68 and 3,076.44 is: 4,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.54 : 14,467.68 = 3,076.44 : x
  2. Step 2: Convert to fraction form
    9,645.54/14,467.68 = 3,076.44/x
  3. Step 3: Cross multiply
    9,645.54x = 14,467.68 × 3,076.44
  4. Step 4: Simplify right side
    9,645.54x = 44,508,949.46
  5. Step 5: Solve for x
    x = 44,508,949.46/9,645.54
  6. Step 6: Final answer
    x = 4,614.46

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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.