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Finding the Fourth Proportional to 6,556.74, 9,048.42 and 3,762.24

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Solution

The fourth proportional to 6,556.74, 9,048.42 and 3,762.24 is: 5,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.74 : 9,048.42 = 3,762.24 : x
  2. Step 2: Convert to fraction form
    6,556.74/9,048.42 = 3,762.24/x
  3. Step 3: Cross multiply
    6,556.74x = 9,048.42 × 3,762.24
  4. Step 4: Simplify right side
    6,556.74x = 34,042,327.66
  5. Step 5: Solve for x
    x = 34,042,327.66/6,556.74
  6. Step 6: Final answer
    x = 5,191.96

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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.