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Finding the Fourth Proportional to 6,782.44, 9,358.50 and 3,986.92

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Solution

The fourth proportional to 6,782.44, 9,358.50 and 3,986.92 is: 5,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.44 : 9,358.50 = 3,986.92 : x
  2. Step 2: Convert to fraction form
    6,782.44/9,358.50 = 3,986.92/x
  3. Step 3: Cross multiply
    6,782.44x = 9,358.50 × 3,986.92
  4. Step 4: Simplify right side
    6,782.44x = 37,311,590.82
  5. Step 5: Solve for x
    x = 37,311,590.82/6,782.44
  6. Step 6: Final answer
    x = 5,501.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.