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Finding the Fourth Proportional to 6,556.56, 9,836.58 and 3,778.23

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Solution

The fourth proportional to 6,556.56, 9,836.58 and 3,778.23 is: 5,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.56 : 9,836.58 = 3,778.23 : x
  2. Step 2: Convert to fraction form
    6,556.56/9,836.58 = 3,778.23/x
  3. Step 3: Cross multiply
    6,556.56x = 9,836.58 × 3,778.23
  4. Step 4: Simplify right side
    6,556.56x = 37,164,861.65
  5. Step 5: Solve for x
    x = 37,164,861.65/6,556.56
  6. Step 6: Final answer
    x = 5,668.35

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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.