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Finding the Fourth Proportional to 9,145.08, 13,715.49 and 2,571.90

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Solution

The fourth proportional to 9,145.08, 13,715.49 and 2,571.90 is: 3,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.08 : 13,715.49 = 2,571.90 : x
  2. Step 2: Convert to fraction form
    9,145.08/13,715.49 = 2,571.90/x
  3. Step 3: Cross multiply
    9,145.08x = 13,715.49 × 2,571.90
  4. Step 4: Simplify right side
    9,145.08x = 35,274,868.73
  5. Step 5: Solve for x
    x = 35,274,868.73/9,145.08
  6. Step 6: Final answer
    x = 3,857.25

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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.