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Finding the Fourth Proportional to 9,141.86, 12,613.75 and 5,954.84

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Solution

The fourth proportional to 9,141.86, 12,613.75 and 5,954.84 is: 8,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.86 : 12,613.75 = 5,954.84 : x
  2. Step 2: Convert to fraction form
    9,141.86/12,613.75 = 5,954.84/x
  3. Step 3: Cross multiply
    9,141.86x = 12,613.75 × 5,954.84
  4. Step 4: Simplify right side
    9,141.86x = 75,112,884.62
  5. Step 5: Solve for x
    x = 75,112,884.62/9,141.86
  6. Step 6: Final answer
    x = 8,216.37

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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.