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Finding the Fourth Proportional to 9,419.25, 14,131.14 and 2,845.05

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Solution

The fourth proportional to 9,419.25, 14,131.14 and 2,845.05 is: 4,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.25 : 14,131.14 = 2,845.05 : x
  2. Step 2: Convert to fraction form
    9,419.25/14,131.14 = 2,845.05/x
  3. Step 3: Cross multiply
    9,419.25x = 14,131.14 × 2,845.05
  4. Step 4: Simplify right side
    9,419.25x = 40,203,799.86
  5. Step 5: Solve for x
    x = 40,203,799.86/9,419.25
  6. Step 6: Final answer
    x = 4,268.26

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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.