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Finding the Fourth Proportional to 10,380.75, 15,571.12 and 9,345.09

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Solution

The fourth proportional to 10,380.75, 15,571.12 and 9,345.09 is: 14,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.75 : 15,571.12 = 9,345.09 : x
  2. Step 2: Convert to fraction form
    10,380.75/15,571.12 = 9,345.09/x
  3. Step 3: Cross multiply
    10,380.75x = 15,571.12 × 9,345.09
  4. Step 4: Simplify right side
    10,380.75x = 145,513,517.80
  5. Step 5: Solve for x
    x = 145,513,517.80/10,380.75
  6. Step 6: Final answer
    x = 14,017.63

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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.