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Finding the Fourth Proportional to 9,458.22, 13,046.43 and 6,801.42

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Solution

The fourth proportional to 9,458.22, 13,046.43 and 6,801.42 is: 9,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.22 : 13,046.43 = 6,801.42 : x
  2. Step 2: Convert to fraction form
    9,458.22/13,046.43 = 6,801.42/x
  3. Step 3: Cross multiply
    9,458.22x = 13,046.43 × 6,801.42
  4. Step 4: Simplify right side
    9,458.22x = 88,734,249.93
  5. Step 5: Solve for x
    x = 88,734,249.93/9,458.22
  6. Step 6: Final answer
    x = 9,381.71

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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.