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Finding the Fourth Proportional to 9,109.86, 13,668.11 and 3,846.21

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Solution

The fourth proportional to 9,109.86, 13,668.11 and 3,846.21 is: 5,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.86 : 13,668.11 = 3,846.21 : x
  2. Step 2: Convert to fraction form
    9,109.86/13,668.11 = 3,846.21/x
  3. Step 3: Cross multiply
    9,109.86x = 13,668.11 × 3,846.21
  4. Step 4: Simplify right side
    9,109.86x = 52,570,421.36
  5. Step 5: Solve for x
    x = 52,570,421.36/9,109.86
  6. Step 6: Final answer
    x = 5,770.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.