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Finding the Fourth Proportional to 9,843.57, 13,583.88 and 5,367.41

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Solution

The fourth proportional to 9,843.57, 13,583.88 and 5,367.41 is: 7,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.57 : 13,583.88 = 5,367.41 : x
  2. Step 2: Convert to fraction form
    9,843.57/13,583.88 = 5,367.41/x
  3. Step 3: Cross multiply
    9,843.57x = 13,583.88 × 5,367.41
  4. Step 4: Simplify right side
    9,843.57x = 72,910,307.44
  5. Step 5: Solve for x
    x = 72,910,307.44/9,843.57
  6. Step 6: Final answer
    x = 7,406.89

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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.