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Finding the Fourth Proportional to 9,841.24, 13,583.22 and 5,863.48

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Solution

The fourth proportional to 9,841.24, 13,583.22 and 5,863.48 is: 8,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.24 : 13,583.22 = 5,863.48 : x
  2. Step 2: Convert to fraction form
    9,841.24/13,583.22 = 5,863.48/x
  3. Step 3: Cross multiply
    9,841.24x = 13,583.22 × 5,863.48
  4. Step 4: Simplify right side
    9,841.24x = 79,644,938.81
  5. Step 5: Solve for x
    x = 79,644,938.81/9,841.24
  6. Step 6: Final answer
    x = 8,092.98

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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.