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Finding the Fourth Proportional to 8,836.37, 12,194.34 and 4,857.47

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Solution

The fourth proportional to 8,836.37, 12,194.34 and 4,857.47 is: 6,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.37 : 12,194.34 = 4,857.47 : x
  2. Step 2: Convert to fraction form
    8,836.37/12,194.34 = 4,857.47/x
  3. Step 3: Cross multiply
    8,836.37x = 12,194.34 × 4,857.47
  4. Step 4: Simplify right side
    8,836.37x = 59,233,579.75
  5. Step 5: Solve for x
    x = 59,233,579.75/8,836.37
  6. Step 6: Final answer
    x = 6,703.39

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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.