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Finding the Fourth Proportional to 9,839.25, 13,578.03 and 5,860.26

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Solution

The fourth proportional to 9,839.25, 13,578.03 and 5,860.26 is: 8,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.25 : 13,578.03 = 5,860.26 : x
  2. Step 2: Convert to fraction form
    9,839.25/13,578.03 = 5,860.26/x
  3. Step 3: Cross multiply
    9,839.25x = 13,578.03 × 5,860.26
  4. Step 4: Simplify right side
    9,839.25x = 79,570,786.09
  5. Step 5: Solve for x
    x = 79,570,786.09/9,839.25
  6. Step 6: Final answer
    x = 8,087.08

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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.