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Finding the Fourth Proportional to 6,924.40, 9,556.49 and 3,899.61

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Solution

The fourth proportional to 6,924.40, 9,556.49 and 3,899.61 is: 5,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.40 : 9,556.49 = 3,899.61 : x
  2. Step 2: Convert to fraction form
    6,924.40/9,556.49 = 3,899.61/x
  3. Step 3: Cross multiply
    6,924.40x = 9,556.49 × 3,899.61
  4. Step 4: Simplify right side
    6,924.40x = 37,266,583.97
  5. Step 5: Solve for x
    x = 37,266,583.97/6,924.40
  6. Step 6: Final answer
    x = 5,381.92

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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.