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Finding the Fourth Proportional to 9,471.26, 13,067.71 and 5,438.06

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Solution

The fourth proportional to 9,471.26, 13,067.71 and 5,438.06 is: 7,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.26 : 13,067.71 = 5,438.06 : x
  2. Step 2: Convert to fraction form
    9,471.26/13,067.71 = 5,438.06/x
  3. Step 3: Cross multiply
    9,471.26x = 13,067.71 × 5,438.06
  4. Step 4: Simplify right side
    9,471.26x = 71,063,010.12
  5. Step 5: Solve for x
    x = 71,063,010.12/9,471.26
  6. Step 6: Final answer
    x = 7,503.02

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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.