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Finding the Fourth Proportional to 9,749.56, 14,620.02 and 6,829.24

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Solution

The fourth proportional to 9,749.56, 14,620.02 and 6,829.24 is: 10,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.56 : 14,620.02 = 6,829.24 : x
  2. Step 2: Convert to fraction form
    9,749.56/14,620.02 = 6,829.24/x
  3. Step 3: Cross multiply
    9,749.56x = 14,620.02 × 6,829.24
  4. Step 4: Simplify right side
    9,749.56x = 99,843,625.38
  5. Step 5: Solve for x
    x = 99,843,625.38/9,749.56
  6. Step 6: Final answer
    x = 10,240.83

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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.