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Finding the Fourth Proportional to 6,765.93, 9,334.44 and 4,112.37

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Solution

The fourth proportional to 6,765.93, 9,334.44 and 4,112.37 is: 5,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.93 : 9,334.44 = 4,112.37 : x
  2. Step 2: Convert to fraction form
    6,765.93/9,334.44 = 4,112.37/x
  3. Step 3: Cross multiply
    6,765.93x = 9,334.44 × 4,112.37
  4. Step 4: Simplify right side
    6,765.93x = 38,386,671.02
  5. Step 5: Solve for x
    x = 38,386,671.02/6,765.93
  6. Step 6: Final answer
    x = 5,673.52

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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.