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Finding the Fourth Proportional to 9,292.82, 12,824.24 and 5,043.96

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Solution

The fourth proportional to 9,292.82, 12,824.24 and 5,043.96 is: 6,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.82 : 12,824.24 = 5,043.96 : x
  2. Step 2: Convert to fraction form
    9,292.82/12,824.24 = 5,043.96/x
  3. Step 3: Cross multiply
    9,292.82x = 12,824.24 × 5,043.96
  4. Step 4: Simplify right side
    9,292.82x = 64,684,928.37
  5. Step 5: Solve for x
    x = 64,684,928.37/9,292.82
  6. Step 6: Final answer
    x = 6,960.75

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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.