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Finding the Fourth Proportional to 9,149.12, 13,711.38 and 6,672.34

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Solution

The fourth proportional to 9,149.12, 13,711.38 and 6,672.34 is: 9,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.12 : 13,711.38 = 6,672.34 : x
  2. Step 2: Convert to fraction form
    9,149.12/13,711.38 = 6,672.34/x
  3. Step 3: Cross multiply
    9,149.12x = 13,711.38 × 6,672.34
  4. Step 4: Simplify right side
    9,149.12x = 91,486,989.23
  5. Step 5: Solve for x
    x = 91,486,989.23/9,149.12
  6. Step 6: Final answer
    x = 9,999.54

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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.