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Finding the Fourth Proportional to 9,839.19, 13,578.06 and 5,860.47

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Solution

The fourth proportional to 9,839.19, 13,578.06 and 5,860.47 is: 8,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.19 : 13,578.06 = 5,860.47 : x
  2. Step 2: Convert to fraction form
    9,839.19/13,578.06 = 5,860.47/x
  3. Step 3: Cross multiply
    9,839.19x = 13,578.06 × 5,860.47
  4. Step 4: Simplify right side
    9,839.19x = 79,573,813.29
  5. Step 5: Solve for x
    x = 79,573,813.29/9,839.19
  6. Step 6: Final answer
    x = 8,087.44

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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.