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Finding the Fourth Proportional to 9,204.92, 13,813.42 and 5,047.85

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Solution

The fourth proportional to 9,204.92, 13,813.42 and 5,047.85 is: 7,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.92 : 13,813.42 = 5,047.85 : x
  2. Step 2: Convert to fraction form
    9,204.92/13,813.42 = 5,047.85/x
  3. Step 3: Cross multiply
    9,204.92x = 13,813.42 × 5,047.85
  4. Step 4: Simplify right side
    9,204.92x = 69,728,003.08
  5. Step 5: Solve for x
    x = 69,728,003.08/9,204.92
  6. Step 6: Final answer
    x = 7,575.08

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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.