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Finding the Fourth Proportional to 9,033.75, 12,469.01 and 5,894.19

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Solution

The fourth proportional to 9,033.75, 12,469.01 and 5,894.19 is: 8,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.75 : 12,469.01 = 5,894.19 : x
  2. Step 2: Convert to fraction form
    9,033.75/12,469.01 = 5,894.19/x
  3. Step 3: Cross multiply
    9,033.75x = 12,469.01 × 5,894.19
  4. Step 4: Simplify right side
    9,033.75x = 73,494,684.58
  5. Step 5: Solve for x
    x = 73,494,684.58/9,033.75
  6. Step 6: Final answer
    x = 8,135.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.