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Finding the Fourth Proportional to 9,262.84, 13,896.66 and 3,716.38

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Solution

The fourth proportional to 9,262.84, 13,896.66 and 3,716.38 is: 5,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.84 : 13,896.66 = 3,716.38 : x
  2. Step 2: Convert to fraction form
    9,262.84/13,896.66 = 3,716.38/x
  3. Step 3: Cross multiply
    9,262.84x = 13,896.66 × 3,716.38
  4. Step 4: Simplify right side
    9,262.84x = 51,645,269.29
  5. Step 5: Solve for x
    x = 51,645,269.29/9,262.84
  6. Step 6: Final answer
    x = 5,575.53

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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.