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Finding the Fourth Proportional to 9,356.26, 12,911.90 and 5,164.78

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Solution

The fourth proportional to 9,356.26, 12,911.90 and 5,164.78 is: 7,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.26 : 12,911.90 = 5,164.78 : x
  2. Step 2: Convert to fraction form
    9,356.26/12,911.90 = 5,164.78/x
  3. Step 3: Cross multiply
    9,356.26x = 12,911.90 × 5,164.78
  4. Step 4: Simplify right side
    9,356.26x = 66,687,122.88
  5. Step 5: Solve for x
    x = 66,687,122.88/9,356.26
  6. Step 6: Final answer
    x = 7,127.54

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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.