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Finding the Fourth Proportional to 9,969.41, 13,757.78 and 5,493.15

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Solution

The fourth proportional to 9,969.41, 13,757.78 and 5,493.15 is: 7,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.41 : 13,757.78 = 5,493.15 : x
  2. Step 2: Convert to fraction form
    9,969.41/13,757.78 = 5,493.15/x
  3. Step 3: Cross multiply
    9,969.41x = 13,757.78 × 5,493.15
  4. Step 4: Simplify right side
    9,969.41x = 75,573,521.74
  5. Step 5: Solve for x
    x = 75,573,521.74/9,969.41
  6. Step 6: Final answer
    x = 7,580.54

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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.