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Finding the Fourth Proportional to 9,189.75, 13,783.26 and 3,346.41

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Solution

The fourth proportional to 9,189.75, 13,783.26 and 3,346.41 is: 5,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.75 : 13,783.26 = 3,346.41 : x
  2. Step 2: Convert to fraction form
    9,189.75/13,783.26 = 3,346.41/x
  3. Step 3: Cross multiply
    9,189.75x = 13,783.26 × 3,346.41
  4. Step 4: Simplify right side
    9,189.75x = 46,124,503.33
  5. Step 5: Solve for x
    x = 46,124,503.33/9,189.75
  6. Step 6: Final answer
    x = 5,019.12

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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.