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Finding the Fourth Proportional to 9,969.41, 13,757.71 and 5,493.06

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Solution

The fourth proportional to 9,969.41, 13,757.71 and 5,493.06 is: 7,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.41 : 13,757.71 = 5,493.06 : x
  2. Step 2: Convert to fraction form
    9,969.41/13,757.71 = 5,493.06/x
  3. Step 3: Cross multiply
    9,969.41x = 13,757.71 × 5,493.06
  4. Step 4: Simplify right side
    9,969.41x = 75,571,926.49
  5. Step 5: Solve for x
    x = 75,571,926.49/9,969.41
  6. Step 6: Final answer
    x = 7,580.38

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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.