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Finding the Fourth Proportional to 9,049.90, 13,563.90 and 4,112.74

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Solution

The fourth proportional to 9,049.90, 13,563.90 and 4,112.74 is: 6,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.90 : 13,563.90 = 4,112.74 : x
  2. Step 2: Convert to fraction form
    9,049.90/13,563.90 = 4,112.74/x
  3. Step 3: Cross multiply
    9,049.90x = 13,563.90 × 4,112.74
  4. Step 4: Simplify right side
    9,049.90x = 55,784,794.09
  5. Step 5: Solve for x
    x = 55,784,794.09/9,049.90
  6. Step 6: Final answer
    x = 6,164.13

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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.