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Finding the Fourth Proportional to 6,765.39, 9,336.72 and 4,112.28

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Solution

The fourth proportional to 6,765.39, 9,336.72 and 4,112.28 is: 5,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.39 : 9,336.72 = 4,112.28 : x
  2. Step 2: Convert to fraction form
    6,765.39/9,336.72 = 4,112.28/x
  3. Step 3: Cross multiply
    6,765.39x = 9,336.72 × 4,112.28
  4. Step 4: Simplify right side
    6,765.39x = 38,395,206.92
  5. Step 5: Solve for x
    x = 38,395,206.92/6,765.39
  6. Step 6: Final answer
    x = 5,675.24

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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.