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Finding the Fourth Proportional to 9,122.62, 13,676.64 and 5,229.76

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Solution

The fourth proportional to 9,122.62, 13,676.64 and 5,229.76 is: 7,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.62 : 13,676.64 = 5,229.76 : x
  2. Step 2: Convert to fraction form
    9,122.62/13,676.64 = 5,229.76/x
  3. Step 3: Cross multiply
    9,122.62x = 13,676.64 × 5,229.76
  4. Step 4: Simplify right side
    9,122.62x = 71,525,544.81
  5. Step 5: Solve for x
    x = 71,525,544.81/9,122.62
  6. Step 6: Final answer
    x = 7,840.46

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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.