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Finding the Fourth Proportional to 9,852, 13,593.74 and 5,763.02

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Solution

The fourth proportional to 9,852, 13,593.74 and 5,763.02 is: 7,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 13,593.74 = 5,763.02 : x
  2. Step 2: Convert to fraction form
    9,852/13,593.74 = 5,763.02/x
  3. Step 3: Cross multiply
    9,852x = 13,593.74 × 5,763.02
  4. Step 4: Simplify right side
    9,852x = 78,340,995.49
  5. Step 5: Solve for x
    x = 78,340,995.49/9,852
  6. Step 6: Final answer
    x = 7,951.79

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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.