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Finding the Fourth Proportional to 9,227.75, 13,840.53 and 2,564.75

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Solution

The fourth proportional to 9,227.75, 13,840.53 and 2,564.75 is: 3,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.75 : 13,840.53 = 2,564.75 : x
  2. Step 2: Convert to fraction form
    9,227.75/13,840.53 = 2,564.75/x
  3. Step 3: Cross multiply
    9,227.75x = 13,840.53 × 2,564.75
  4. Step 4: Simplify right side
    9,227.75x = 35,497,430.11
  5. Step 5: Solve for x
    x = 35,497,430.11/9,227.75
  6. Step 6: Final answer
    x = 3,846.82

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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.