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Finding the Fourth Proportional to 6,007.80, 9,009 and 3,896.04

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Solution

The fourth proportional to 6,007.80, 9,009 and 3,896.04 is: 5,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.80 : 9,009 = 3,896.04 : x
  2. Step 2: Convert to fraction form
    6,007.80/9,009 = 3,896.04/x
  3. Step 3: Cross multiply
    6,007.80x = 9,009 × 3,896.04
  4. Step 4: Simplify right side
    6,007.80x = 35,099,424.36
  5. Step 5: Solve for x
    x = 35,099,424.36/6,007.80
  6. Step 6: Final answer
    x = 5,842.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.