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Finding the Fourth Proportional to 9,794.07, 13,517.94 and 6,019.22

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Solution

The fourth proportional to 9,794.07, 13,517.94 and 6,019.22 is: 8,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.07 : 13,517.94 = 6,019.22 : x
  2. Step 2: Convert to fraction form
    9,794.07/13,517.94 = 6,019.22/x
  3. Step 3: Cross multiply
    9,794.07x = 13,517.94 × 6,019.22
  4. Step 4: Simplify right side
    9,794.07x = 81,367,387.22
  5. Step 5: Solve for x
    x = 81,367,387.22/9,794.07
  6. Step 6: Final answer
    x = 8,307.82

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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.