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Finding the Fourth Proportional to 9,583.50, 13,197.24 and 8,443.42

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Solution

The fourth proportional to 9,583.50, 13,197.24 and 8,443.42 is: 11,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.50 : 13,197.24 = 8,443.42 : x
  2. Step 2: Convert to fraction form
    9,583.50/13,197.24 = 8,443.42/x
  3. Step 3: Cross multiply
    9,583.50x = 13,197.24 × 8,443.42
  4. Step 4: Simplify right side
    9,583.50x = 111,429,840.16
  5. Step 5: Solve for x
    x = 111,429,840.16/9,583.50
  6. Step 6: Final answer
    x = 11,627.26

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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.