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Finding the Fourth Proportional to 6,665.73, 9,199.99 and 3,835.01

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Solution

The fourth proportional to 6,665.73, 9,199.99 and 3,835.01 is: 5,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.73 : 9,199.99 = 3,835.01 : x
  2. Step 2: Convert to fraction form
    6,665.73/9,199.99 = 3,835.01/x
  3. Step 3: Cross multiply
    6,665.73x = 9,199.99 × 3,835.01
  4. Step 4: Simplify right side
    6,665.73x = 35,282,053.65
  5. Step 5: Solve for x
    x = 35,282,053.65/6,665.73
  6. Step 6: Final answer
    x = 5,293.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.