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Finding the Fourth Proportional to 6,160.32, 9,236.96 and 3,662.56

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Solution

The fourth proportional to 6,160.32, 9,236.96 and 3,662.56 is: 5,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.32 : 9,236.96 = 3,662.56 : x
  2. Step 2: Convert to fraction form
    6,160.32/9,236.96 = 3,662.56/x
  3. Step 3: Cross multiply
    6,160.32x = 9,236.96 × 3,662.56
  4. Step 4: Simplify right side
    6,160.32x = 33,830,920.22
  5. Step 5: Solve for x
    x = 33,830,920.22/6,160.32
  6. Step 6: Final answer
    x = 5,491.75

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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.