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Finding the Fourth Proportional to 6,924.48, 9,555.87 and 3,940.32

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Solution

The fourth proportional to 6,924.48, 9,555.87 and 3,940.32 is: 5,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.48 : 9,555.87 = 3,940.32 : x
  2. Step 2: Convert to fraction form
    6,924.48/9,555.87 = 3,940.32/x
  3. Step 3: Cross multiply
    6,924.48x = 9,555.87 × 3,940.32
  4. Step 4: Simplify right side
    6,924.48x = 37,653,185.68
  5. Step 5: Solve for x
    x = 37,653,185.68/6,924.48
  6. Step 6: Final answer
    x = 5,437.69

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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.