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Finding the Fourth Proportional to 9,468.78, 14,206.80 and 3,625.80

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Solution

The fourth proportional to 9,468.78, 14,206.80 and 3,625.80 is: 5,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.78 : 14,206.80 = 3,625.80 : x
  2. Step 2: Convert to fraction form
    9,468.78/14,206.80 = 3,625.80/x
  3. Step 3: Cross multiply
    9,468.78x = 14,206.80 × 3,625.80
  4. Step 4: Simplify right side
    9,468.78x = 51,511,015.44
  5. Step 5: Solve for x
    x = 51,511,015.44/9,468.78
  6. Step 6: Final answer
    x = 5,440.09

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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.