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Finding the Fourth Proportional to 6,529.68, 9,796.86 and 3,021.30

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Solution

The fourth proportional to 6,529.68, 9,796.86 and 3,021.30 is: 4,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.68 : 9,796.86 = 3,021.30 : x
  2. Step 2: Convert to fraction form
    6,529.68/9,796.86 = 3,021.30/x
  3. Step 3: Cross multiply
    6,529.68x = 9,796.86 × 3,021.30
  4. Step 4: Simplify right side
    6,529.68x = 29,599,253.12
  5. Step 5: Solve for x
    x = 29,599,253.12/6,529.68
  6. Step 6: Final answer
    x = 4,533.03

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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.