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Finding the Fourth Proportional to 9,379.44, 12,941.64 and 5,601.60

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Solution

The fourth proportional to 9,379.44, 12,941.64 and 5,601.60 is: 7,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.44 : 12,941.64 = 5,601.60 : x
  2. Step 2: Convert to fraction form
    9,379.44/12,941.64 = 5,601.60/x
  3. Step 3: Cross multiply
    9,379.44x = 12,941.64 × 5,601.60
  4. Step 4: Simplify right side
    9,379.44x = 72,493,890.62
  5. Step 5: Solve for x
    x = 72,493,890.62/9,379.44
  6. Step 6: Final answer
    x = 7,729.02

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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.