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Finding the Fourth Proportional to 9,913.49, 13,675.43 and 5,877.97

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Solution

The fourth proportional to 9,913.49, 13,675.43 and 5,877.97 is: 8,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.49 : 13,675.43 = 5,877.97 : x
  2. Step 2: Convert to fraction form
    9,913.49/13,675.43 = 5,877.97/x
  3. Step 3: Cross multiply
    9,913.49x = 13,675.43 × 5,877.97
  4. Step 4: Simplify right side
    9,913.49x = 80,383,747.78
  5. Step 5: Solve for x
    x = 80,383,747.78/9,913.49
  6. Step 6: Final answer
    x = 8,108.52

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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.