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Finding the Fourth Proportional to 6,093.40, 9,164.40 and 5,461.60

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Solution

The fourth proportional to 6,093.40, 9,164.40 and 5,461.60 is: 8,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.40 : 9,164.40 = 5,461.60 : x
  2. Step 2: Convert to fraction form
    6,093.40/9,164.40 = 5,461.60/x
  3. Step 3: Cross multiply
    6,093.40x = 9,164.40 × 5,461.60
  4. Step 4: Simplify right side
    6,093.40x = 50,052,287.04
  5. Step 5: Solve for x
    x = 50,052,287.04/6,093.40
  6. Step 6: Final answer
    x = 8,214.18

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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.