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Finding the Fourth Proportional to 6,924.34, 9,556.40 and 3,899.55

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Solution

The fourth proportional to 6,924.34, 9,556.40 and 3,899.55 is: 5,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.34 : 9,556.40 = 3,899.55 : x
  2. Step 2: Convert to fraction form
    6,924.34/9,556.40 = 3,899.55/x
  3. Step 3: Cross multiply
    6,924.34x = 9,556.40 × 3,899.55
  4. Step 4: Simplify right side
    6,924.34x = 37,265,659.62
  5. Step 5: Solve for x
    x = 37,265,659.62/6,924.34
  6. Step 6: Final answer
    x = 5,381.84

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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.