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Finding the Fourth Proportional to 9,240.25, 12,736.57 and 7,220.14

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Solution

The fourth proportional to 9,240.25, 12,736.57 and 7,220.14 is: 9,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.25 : 12,736.57 = 7,220.14 : x
  2. Step 2: Convert to fraction form
    9,240.25/12,736.57 = 7,220.14/x
  3. Step 3: Cross multiply
    9,240.25x = 12,736.57 × 7,220.14
  4. Step 4: Simplify right side
    9,240.25x = 91,959,818.52
  5. Step 5: Solve for x
    x = 91,959,818.52/9,240.25
  6. Step 6: Final answer
    x = 9,952.09

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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.