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Finding the Fourth Proportional to 9,745.92, 13,449.42 and 5,554.17

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Solution

The fourth proportional to 9,745.92, 13,449.42 and 5,554.17 is: 7,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.92 : 13,449.42 = 5,554.17 : x
  2. Step 2: Convert to fraction form
    9,745.92/13,449.42 = 5,554.17/x
  3. Step 3: Cross multiply
    9,745.92x = 13,449.42 × 5,554.17
  4. Step 4: Simplify right side
    9,745.92x = 74,700,365.08
  5. Step 5: Solve for x
    x = 74,700,365.08/9,745.92
  6. Step 6: Final answer
    x = 7,664.78

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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.