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Finding the Fourth Proportional to 9,497.00, 13,105.90 and 5,305.25

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Solution

The fourth proportional to 9,497.00, 13,105.90 and 5,305.25 is: 7,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.00 : 13,105.90 = 5,305.25 : x
  2. Step 2: Convert to fraction form
    9,497.00/13,105.90 = 5,305.25/x
  3. Step 3: Cross multiply
    9,497.00x = 13,105.90 × 5,305.25
  4. Step 4: Simplify right side
    9,497.00x = 69,530,115.37
  5. Step 5: Solve for x
    x = 69,530,115.37/9,497.00
  6. Step 6: Final answer
    x = 7,321.27

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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.