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Finding the Fourth Proportional to 9,295.24, 12,824.31 and 5,940.02

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Solution

The fourth proportional to 9,295.24, 12,824.31 and 5,940.02 is: 8,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.24 : 12,824.31 = 5,940.02 : x
  2. Step 2: Convert to fraction form
    9,295.24/12,824.31 = 5,940.02/x
  3. Step 3: Cross multiply
    9,295.24x = 12,824.31 × 5,940.02
  4. Step 4: Simplify right side
    9,295.24x = 76,176,657.89
  5. Step 5: Solve for x
    x = 76,176,657.89/9,295.24
  6. Step 6: Final answer
    x = 8,195.23

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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.