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Finding the Fourth Proportional to 9,822.97, 14,725.23 and 3,245.57

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Solution

The fourth proportional to 9,822.97, 14,725.23 and 3,245.57 is: 4,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.97 : 14,725.23 = 3,245.57 : x
  2. Step 2: Convert to fraction form
    9,822.97/14,725.23 = 3,245.57/x
  3. Step 3: Cross multiply
    9,822.97x = 14,725.23 × 3,245.57
  4. Step 4: Simplify right side
    9,822.97x = 47,791,734.15
  5. Step 5: Solve for x
    x = 47,791,734.15/9,822.97
  6. Step 6: Final answer
    x = 4,865.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.