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Finding the Fourth Proportional to 9,610.54, 13,257.25 and 6,024.73

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Solution

The fourth proportional to 9,610.54, 13,257.25 and 6,024.73 is: 8,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.54 : 13,257.25 = 6,024.73 : x
  2. Step 2: Convert to fraction form
    9,610.54/13,257.25 = 6,024.73/x
  3. Step 3: Cross multiply
    9,610.54x = 13,257.25 × 6,024.73
  4. Step 4: Simplify right side
    9,610.54x = 79,871,351.79
  5. Step 5: Solve for x
    x = 79,871,351.79/9,610.54
  6. Step 6: Final answer
    x = 8,310.81

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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.