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Finding the Fourth Proportional to 9,936.84, 13,724.97 and 7,430.09

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Solution

The fourth proportional to 9,936.84, 13,724.97 and 7,430.09 is: 10,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.84 : 13,724.97 = 7,430.09 : x
  2. Step 2: Convert to fraction form
    9,936.84/13,724.97 = 7,430.09/x
  3. Step 3: Cross multiply
    9,936.84x = 13,724.97 × 7,430.09
  4. Step 4: Simplify right side
    9,936.84x = 101,977,693.72
  5. Step 5: Solve for x
    x = 101,977,693.72/9,936.84
  6. Step 6: Final answer
    x = 10,262.59

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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.