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Finding the Fourth Proportional to 9,034, 13,550.96 and 3,189.20

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Solution

The fourth proportional to 9,034, 13,550.96 and 3,189.20 is: 4,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034 : 13,550.96 = 3,189.20 : x
  2. Step 2: Convert to fraction form
    9,034/13,550.96 = 3,189.20/x
  3. Step 3: Cross multiply
    9,034x = 13,550.96 × 3,189.20
  4. Step 4: Simplify right side
    9,034x = 43,216,721.63
  5. Step 5: Solve for x
    x = 43,216,721.63/9,034
  6. Step 6: Final answer
    x = 4,783.79

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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.