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Finding the Fourth Proportional to 12,762.87, 19,147.37 and 6,181.37

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Solution

The fourth proportional to 12,762.87, 19,147.37 and 6,181.37 is: 9,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.87 : 19,147.37 = 6,181.37 : x
  2. Step 2: Convert to fraction form
    12,762.87/19,147.37 = 6,181.37/x
  3. Step 3: Cross multiply
    12,762.87x = 19,147.37 × 6,181.37
  4. Step 4: Simplify right side
    12,762.87x = 118,356,851.85
  5. Step 5: Solve for x
    x = 118,356,851.85/12,762.87
  6. Step 6: Final answer
    x = 9,273.53

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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.