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Finding the Fourth Proportional to 9,321.50, 13,971.98 and 3,771.38

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Solution

The fourth proportional to 9,321.50, 13,971.98 and 3,771.38 is: 5,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.50 : 13,971.98 = 3,771.38 : x
  2. Step 2: Convert to fraction form
    9,321.50/13,971.98 = 3,771.38/x
  3. Step 3: Cross multiply
    9,321.50x = 13,971.98 × 3,771.38
  4. Step 4: Simplify right side
    9,321.50x = 52,693,645.93
  5. Step 5: Solve for x
    x = 52,693,645.93/9,321.50
  6. Step 6: Final answer
    x = 5,652.91

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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.