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Finding the Fourth Proportional to 6,786.88, 9,369.60 and 4,134.88

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Solution

The fourth proportional to 6,786.88, 9,369.60 and 4,134.88 is: 5,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.88 : 9,369.60 = 4,134.88 : x
  2. Step 2: Convert to fraction form
    6,786.88/9,369.60 = 4,134.88/x
  3. Step 3: Cross multiply
    6,786.88x = 9,369.60 × 4,134.88
  4. Step 4: Simplify right side
    6,786.88x = 38,742,171.65
  5. Step 5: Solve for x
    x = 38,742,171.65/6,786.88
  6. Step 6: Final answer
    x = 5,708.39

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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.