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Finding the Fourth Proportional to 9,022.78, 13,534.17 and 2,448.96

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Solution

The fourth proportional to 9,022.78, 13,534.17 and 2,448.96 is: 3,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.78 : 13,534.17 = 2,448.96 : x
  2. Step 2: Convert to fraction form
    9,022.78/13,534.17 = 2,448.96/x
  3. Step 3: Cross multiply
    9,022.78x = 13,534.17 × 2,448.96
  4. Step 4: Simplify right side
    9,022.78x = 33,144,640.96
  5. Step 5: Solve for x
    x = 33,144,640.96/9,022.78
  6. Step 6: Final answer
    x = 3,673.44

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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.