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Finding the Fourth Proportional to 9,628.41, 14,431.62 and 4,078.29

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Solution

The fourth proportional to 9,628.41, 14,431.62 and 4,078.29 is: 6,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.41 : 14,431.62 = 4,078.29 : x
  2. Step 2: Convert to fraction form
    9,628.41/14,431.62 = 4,078.29/x
  3. Step 3: Cross multiply
    9,628.41x = 14,431.62 × 4,078.29
  4. Step 4: Simplify right side
    9,628.41x = 58,856,331.53
  5. Step 5: Solve for x
    x = 58,856,331.53/9,628.41
  6. Step 6: Final answer
    x = 6,112.78

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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.