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Finding the Fourth Proportional to 6,113.37, 9,181.32 and 3,663.23

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Solution

The fourth proportional to 6,113.37, 9,181.32 and 3,663.23 is: 5,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.37 : 9,181.32 = 3,663.23 : x
  2. Step 2: Convert to fraction form
    6,113.37/9,181.32 = 3,663.23/x
  3. Step 3: Cross multiply
    6,113.37x = 9,181.32 × 3,663.23
  4. Step 4: Simplify right side
    6,113.37x = 33,633,227.22
  5. Step 5: Solve for x
    x = 33,633,227.22/6,113.37
  6. Step 6: Final answer
    x = 5,501.58

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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.