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Finding the Fourth Proportional to 9,243.72, 12,749.00 and 6,982.61

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Solution

The fourth proportional to 9,243.72, 12,749.00 and 6,982.61 is: 9,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.72 : 12,749.00 = 6,982.61 : x
  2. Step 2: Convert to fraction form
    9,243.72/12,749.00 = 6,982.61/x
  3. Step 3: Cross multiply
    9,243.72x = 12,749.00 × 6,982.61
  4. Step 4: Simplify right side
    9,243.72x = 89,021,196.23
  5. Step 5: Solve for x
    x = 89,021,196.23/9,243.72
  6. Step 6: Final answer
    x = 9,630.45

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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.