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Finding the Fourth Proportional to 9,422.92, 12,991.62 and 5,884.84

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Solution

The fourth proportional to 9,422.92, 12,991.62 and 5,884.84 is: 8,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.92 : 12,991.62 = 5,884.84 : x
  2. Step 2: Convert to fraction form
    9,422.92/12,991.62 = 5,884.84/x
  3. Step 3: Cross multiply
    9,422.92x = 12,991.62 × 5,884.84
  4. Step 4: Simplify right side
    9,422.92x = 76,453,605.04
  5. Step 5: Solve for x
    x = 76,453,605.04/9,422.92
  6. Step 6: Final answer
    x = 8,113.58

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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.