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Finding the Fourth Proportional to 9,546.26, 13,167.78 and 6,897.56

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Solution

The fourth proportional to 9,546.26, 13,167.78 and 6,897.56 is: 9,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.26 : 13,167.78 = 6,897.56 : x
  2. Step 2: Convert to fraction form
    9,546.26/13,167.78 = 6,897.56/x
  3. Step 3: Cross multiply
    9,546.26x = 13,167.78 × 6,897.56
  4. Step 4: Simplify right side
    9,546.26x = 90,825,552.62
  5. Step 5: Solve for x
    x = 90,825,552.62/9,546.26
  6. Step 6: Final answer
    x = 9,514.26

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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.