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Finding the Fourth Proportional to 6,923.82, 9,555.05 and 3,780.08

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Solution

The fourth proportional to 6,923.82, 9,555.05 and 3,780.08 is: 5,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.82 : 9,555.05 = 3,780.08 : x
  2. Step 2: Convert to fraction form
    6,923.82/9,555.05 = 3,780.08/x
  3. Step 3: Cross multiply
    6,923.82x = 9,555.05 × 3,780.08
  4. Step 4: Simplify right side
    6,923.82x = 36,118,815.08
  5. Step 5: Solve for x
    x = 36,118,815.08/6,923.82
  6. Step 6: Final answer
    x = 5,216.60

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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.