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Finding the Fourth Proportional to 9,760.56, 13,469.62 and 5,284.31

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Solution

The fourth proportional to 9,760.56, 13,469.62 and 5,284.31 is: 7,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.56 : 13,469.62 = 5,284.31 : x
  2. Step 2: Convert to fraction form
    9,760.56/13,469.62 = 5,284.31/x
  3. Step 3: Cross multiply
    9,760.56x = 13,469.62 × 5,284.31
  4. Step 4: Simplify right side
    9,760.56x = 71,177,647.66
  5. Step 5: Solve for x
    x = 71,177,647.66/9,760.56
  6. Step 6: Final answer
    x = 7,292.37

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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.