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Finding the Fourth Proportional to 9,571.54, 13,208.88 and 5,794.66

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Solution

The fourth proportional to 9,571.54, 13,208.88 and 5,794.66 is: 7,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.54 : 13,208.88 = 5,794.66 : x
  2. Step 2: Convert to fraction form
    9,571.54/13,208.88 = 5,794.66/x
  3. Step 3: Cross multiply
    9,571.54x = 13,208.88 × 5,794.66
  4. Step 4: Simplify right side
    9,571.54x = 76,540,968.58
  5. Step 5: Solve for x
    x = 76,540,968.58/9,571.54
  6. Step 6: Final answer
    x = 7,996.72

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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.