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Finding the Fourth Proportional to 9,189.75, 13,784.67 and 3,033.75

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Solution

The fourth proportional to 9,189.75, 13,784.67 and 3,033.75 is: 4,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.75 : 13,784.67 = 3,033.75 : x
  2. Step 2: Convert to fraction form
    9,189.75/13,784.67 = 3,033.75/x
  3. Step 3: Cross multiply
    9,189.75x = 13,784.67 × 3,033.75
  4. Step 4: Simplify right side
    9,189.75x = 41,819,242.61
  5. Step 5: Solve for x
    x = 41,819,242.61/9,189.75
  6. Step 6: Final answer
    x = 4,550.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.