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Finding the Fourth Proportional to 6,924.68, 9,555.92 and 3,780.89

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Solution

The fourth proportional to 6,924.68, 9,555.92 and 3,780.89 is: 5,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.68 : 9,555.92 = 3,780.89 : x
  2. Step 2: Convert to fraction form
    6,924.68/9,555.92 = 3,780.89/x
  3. Step 3: Cross multiply
    6,924.68x = 9,555.92 × 3,780.89
  4. Step 4: Simplify right side
    6,924.68x = 36,129,815.68
  5. Step 5: Solve for x
    x = 36,129,815.68/6,924.68
  6. Step 6: Final answer
    x = 5,217.55

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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.