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Finding the Fourth Proportional to 6,924.66, 9,556.03 and 3,780.84

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Solution

The fourth proportional to 6,924.66, 9,556.03 and 3,780.84 is: 5,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.66 : 9,556.03 = 3,780.84 : x
  2. Step 2: Convert to fraction form
    6,924.66/9,556.03 = 3,780.84/x
  3. Step 3: Cross multiply
    6,924.66x = 9,556.03 × 3,780.84
  4. Step 4: Simplify right side
    6,924.66x = 36,129,839.76
  5. Step 5: Solve for x
    x = 36,129,839.76/6,924.66
  6. Step 6: Final answer
    x = 5,217.56

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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.