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Finding the Fourth Proportional to 9,240.84, 12,749.16 and 7,231.50

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Solution

The fourth proportional to 9,240.84, 12,749.16 and 7,231.50 is: 9,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.84 : 12,749.16 = 7,231.50 : x
  2. Step 2: Convert to fraction form
    9,240.84/12,749.16 = 7,231.50/x
  3. Step 3: Cross multiply
    9,240.84x = 12,749.16 × 7,231.50
  4. Step 4: Simplify right side
    9,240.84x = 92,195,550.54
  5. Step 5: Solve for x
    x = 92,195,550.54/9,240.84
  6. Step 6: Final answer
    x = 9,976.97

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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.