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Finding the Fourth Proportional to 9,458.26, 13,042.71 and 6,270.44

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Solution

The fourth proportional to 9,458.26, 13,042.71 and 6,270.44 is: 8,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.26 : 13,042.71 = 6,270.44 : x
  2. Step 2: Convert to fraction form
    9,458.26/13,042.71 = 6,270.44/x
  3. Step 3: Cross multiply
    9,458.26x = 13,042.71 × 6,270.44
  4. Step 4: Simplify right side
    9,458.26x = 81,783,530.49
  5. Step 5: Solve for x
    x = 81,783,530.49/9,458.26
  6. Step 6: Final answer
    x = 8,646.78

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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.