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Finding the Fourth Proportional to 9,356.27, 12,911.06 and 5,164.52

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Solution

The fourth proportional to 9,356.27, 12,911.06 and 5,164.52 is: 7,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.27 : 12,911.06 = 5,164.52 : x
  2. Step 2: Convert to fraction form
    9,356.27/12,911.06 = 5,164.52/x
  3. Step 3: Cross multiply
    9,356.27x = 12,911.06 × 5,164.52
  4. Step 4: Simplify right side
    9,356.27x = 66,679,375.95
  5. Step 5: Solve for x
    x = 66,679,375.95/9,356.27
  6. Step 6: Final answer
    x = 7,126.71

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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.