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Finding the Fourth Proportional to 9,048.92, 13,577.69 and 3,208.28

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Solution

The fourth proportional to 9,048.92, 13,577.69 and 3,208.28 is: 4,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.92 : 13,577.69 = 3,208.28 : x
  2. Step 2: Convert to fraction form
    9,048.92/13,577.69 = 3,208.28/x
  3. Step 3: Cross multiply
    9,048.92x = 13,577.69 × 3,208.28
  4. Step 4: Simplify right side
    9,048.92x = 43,560,971.41
  5. Step 5: Solve for x
    x = 43,560,971.41/9,048.92
  6. Step 6: Final answer
    x = 4,813.94

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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.