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Finding the Fourth Proportional to 9,222.81, 13,836.26 and 2,648.49

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Solution

The fourth proportional to 9,222.81, 13,836.26 and 2,648.49 is: 3,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.81 : 13,836.26 = 2,648.49 : x
  2. Step 2: Convert to fraction form
    9,222.81/13,836.26 = 2,648.49/x
  3. Step 3: Cross multiply
    9,222.81x = 13,836.26 × 2,648.49
  4. Step 4: Simplify right side
    9,222.81x = 36,645,196.25
  5. Step 5: Solve for x
    x = 36,645,196.25/9,222.81
  6. Step 6: Final answer
    x = 3,973.32

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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.