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Finding the Fourth Proportional to 9,668.19, 13,342.22 and 5,890.86

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Solution

The fourth proportional to 9,668.19, 13,342.22 and 5,890.86 is: 8,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.19 : 13,342.22 = 5,890.86 : x
  2. Step 2: Convert to fraction form
    9,668.19/13,342.22 = 5,890.86/x
  3. Step 3: Cross multiply
    9,668.19x = 13,342.22 × 5,890.86
  4. Step 4: Simplify right side
    9,668.19x = 78,597,142.75
  5. Step 5: Solve for x
    x = 78,597,142.75/9,668.19
  6. Step 6: Final answer
    x = 8,129.45

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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.