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Finding the Fourth Proportional to 9,711.75, 13,401.69 and 5,731.41

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Solution

The fourth proportional to 9,711.75, 13,401.69 and 5,731.41 is: 7,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.75 : 13,401.69 = 5,731.41 : x
  2. Step 2: Convert to fraction form
    9,711.75/13,401.69 = 5,731.41/x
  3. Step 3: Cross multiply
    9,711.75x = 13,401.69 × 5,731.41
  4. Step 4: Simplify right side
    9,711.75x = 76,810,580.08
  5. Step 5: Solve for x
    x = 76,810,580.08/9,711.75
  6. Step 6: Final answer
    x = 7,909.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.