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Finding the Fourth Proportional to 9,164.31, 13,751.24 and 5,003.54

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Solution

The fourth proportional to 9,164.31, 13,751.24 and 5,003.54 is: 7,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.31 : 13,751.24 = 5,003.54 : x
  2. Step 2: Convert to fraction form
    9,164.31/13,751.24 = 5,003.54/x
  3. Step 3: Cross multiply
    9,164.31x = 13,751.24 × 5,003.54
  4. Step 4: Simplify right side
    9,164.31x = 68,804,785.62
  5. Step 5: Solve for x
    x = 68,804,785.62/9,164.31
  6. Step 6: Final answer
    x = 7,507.91

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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.