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Finding the Fourth Proportional to 6,556.43, 9,826.41 and 5,164.26

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Solution

The fourth proportional to 6,556.43, 9,826.41 and 5,164.26 is: 7,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.43 : 9,826.41 = 5,164.26 : x
  2. Step 2: Convert to fraction form
    6,556.43/9,826.41 = 5,164.26/x
  3. Step 3: Cross multiply
    6,556.43x = 9,826.41 × 5,164.26
  4. Step 4: Simplify right side
    6,556.43x = 50,746,136.11
  5. Step 5: Solve for x
    x = 50,746,136.11/6,556.43
  6. Step 6: Final answer
    x = 7,739.91

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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.