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Finding the Fourth Proportional to 9,687.54, 14,529.56 and 2,571.82

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Solution

The fourth proportional to 9,687.54, 14,529.56 and 2,571.82 is: 3,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.54 : 14,529.56 = 2,571.82 : x
  2. Step 2: Convert to fraction form
    9,687.54/14,529.56 = 2,571.82/x
  3. Step 3: Cross multiply
    9,687.54x = 14,529.56 × 2,571.82
  4. Step 4: Simplify right side
    9,687.54x = 37,367,413.00
  5. Step 5: Solve for x
    x = 37,367,413.00/9,687.54
  6. Step 6: Final answer
    x = 3,857.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.