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Finding the Fourth Proportional to 9,877.39, 13,626.98 and 6,093.98

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Solution

The fourth proportional to 9,877.39, 13,626.98 and 6,093.98 is: 8,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.39 : 13,626.98 = 6,093.98 : x
  2. Step 2: Convert to fraction form
    9,877.39/13,626.98 = 6,093.98/x
  3. Step 3: Cross multiply
    9,877.39x = 13,626.98 × 6,093.98
  4. Step 4: Simplify right side
    9,877.39x = 83,042,629.86
  5. Step 5: Solve for x
    x = 83,042,629.86/9,877.39
  6. Step 6: Final answer
    x = 8,407.34

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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.