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Finding the Fourth Proportional to 9,914.38, 13,684.47 and 6,135.34

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Solution

The fourth proportional to 9,914.38, 13,684.47 and 6,135.34 is: 8,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.38 : 13,684.47 = 6,135.34 : x
  2. Step 2: Convert to fraction form
    9,914.38/13,684.47 = 6,135.34/x
  3. Step 3: Cross multiply
    9,914.38x = 13,684.47 × 6,135.34
  4. Step 4: Simplify right side
    9,914.38x = 83,958,876.17
  5. Step 5: Solve for x
    x = 83,958,876.17/9,914.38
  6. Step 6: Final answer
    x = 8,468.39

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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.