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Finding the Fourth Proportional to 9,419.26, 14,129.16 and 2,493.76

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Solution

The fourth proportional to 9,419.26, 14,129.16 and 2,493.76 is: 3,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.26 : 14,129.16 = 2,493.76 : x
  2. Step 2: Convert to fraction form
    9,419.26/14,129.16 = 2,493.76/x
  3. Step 3: Cross multiply
    9,419.26x = 14,129.16 × 2,493.76
  4. Step 4: Simplify right side
    9,419.26x = 35,234,734.04
  5. Step 5: Solve for x
    x = 35,234,734.04/9,419.26
  6. Step 6: Final answer
    x = 3,740.71

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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.