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Finding the Fourth Proportional to 9,189.64, 12,682.83 and 5,412.61

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Solution

The fourth proportional to 9,189.64, 12,682.83 and 5,412.61 is: 7,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.64 : 12,682.83 = 5,412.61 : x
  2. Step 2: Convert to fraction form
    9,189.64/12,682.83 = 5,412.61/x
  3. Step 3: Cross multiply
    9,189.64x = 12,682.83 × 5,412.61
  4. Step 4: Simplify right side
    9,189.64x = 68,647,212.49
  5. Step 5: Solve for x
    x = 68,647,212.49/9,189.64
  6. Step 6: Final answer
    x = 7,470.07

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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.