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Finding the Fourth Proportional to 6,192.31, 8,546.09 and 4,303.39

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Solution

The fourth proportional to 6,192.31, 8,546.09 and 4,303.39 is: 5,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.31 : 8,546.09 = 4,303.39 : x
  2. Step 2: Convert to fraction form
    6,192.31/8,546.09 = 4,303.39/x
  3. Step 3: Cross multiply
    6,192.31x = 8,546.09 × 4,303.39
  4. Step 4: Simplify right side
    6,192.31x = 36,777,158.25
  5. Step 5: Solve for x
    x = 36,777,158.25/6,192.31
  6. Step 6: Final answer
    x = 5,939.17

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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.