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Finding the Fourth Proportional to 9,431.88, 13,015.44 and 5,452.71

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Solution

The fourth proportional to 9,431.88, 13,015.44 and 5,452.71 is: 7,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.88 : 13,015.44 = 5,452.71 : x
  2. Step 2: Convert to fraction form
    9,431.88/13,015.44 = 5,452.71/x
  3. Step 3: Cross multiply
    9,431.88x = 13,015.44 × 5,452.71
  4. Step 4: Simplify right side
    9,431.88x = 70,969,419.84
  5. Step 5: Solve for x
    x = 70,969,419.84/9,431.88
  6. Step 6: Final answer
    x = 7,524.42

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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.