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Finding the Fourth Proportional to 6,112.06, 9,167.37 and 3,614.74

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Solution

The fourth proportional to 6,112.06, 9,167.37 and 3,614.74 is: 5,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.06 : 9,167.37 = 3,614.74 : x
  2. Step 2: Convert to fraction form
    6,112.06/9,167.37 = 3,614.74/x
  3. Step 3: Cross multiply
    6,112.06x = 9,167.37 × 3,614.74
  4. Step 4: Simplify right side
    6,112.06x = 33,137,659.03
  5. Step 5: Solve for x
    x = 33,137,659.03/6,112.06
  6. Step 6: Final answer
    x = 5,421.68

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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.