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Finding the Fourth Proportional to 9,496.75, 13,105.52 and 5,305

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Solution

The fourth proportional to 9,496.75, 13,105.52 and 5,305 is: 7,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.75 : 13,105.52 = 5,305 : x
  2. Step 2: Convert to fraction form
    9,496.75/13,105.52 = 5,305/x
  3. Step 3: Cross multiply
    9,496.75x = 13,105.52 × 5,305
  4. Step 4: Simplify right side
    9,496.75x = 69,524,783.60
  5. Step 5: Solve for x
    x = 69,524,783.60/9,496.75
  6. Step 6: Final answer
    x = 7,320.90

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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.