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Finding the Fourth Proportional to 9,877.26, 13,630.83 and 5,897.63

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Solution

The fourth proportional to 9,877.26, 13,630.83 and 5,897.63 is: 8,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.26 : 13,630.83 = 5,897.63 : x
  2. Step 2: Convert to fraction form
    9,877.26/13,630.83 = 5,897.63/x
  3. Step 3: Cross multiply
    9,877.26x = 13,630.83 × 5,897.63
  4. Step 4: Simplify right side
    9,877.26x = 80,389,591.93
  5. Step 5: Solve for x
    x = 80,389,591.93/9,877.26
  6. Step 6: Final answer
    x = 8,138.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.