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Finding the Fourth Proportional to 9,321.38, 13,977.74 and 3,476.42

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Solution

The fourth proportional to 9,321.38, 13,977.74 and 3,476.42 is: 5,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.38 : 13,977.74 = 3,476.42 : x
  2. Step 2: Convert to fraction form
    9,321.38/13,977.74 = 3,476.42/x
  3. Step 3: Cross multiply
    9,321.38x = 13,977.74 × 3,476.42
  4. Step 4: Simplify right side
    9,321.38x = 48,592,494.89
  5. Step 5: Solve for x
    x = 48,592,494.89/9,321.38
  6. Step 6: Final answer
    x = 5,213.02

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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.