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Finding the Fourth Proportional to 9,571.86, 14,358.87 and 2,551.97

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Solution

The fourth proportional to 9,571.86, 14,358.87 and 2,551.97 is: 3,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.86 : 14,358.87 = 2,551.97 : x
  2. Step 2: Convert to fraction form
    9,571.86/14,358.87 = 2,551.97/x
  3. Step 3: Cross multiply
    9,571.86x = 14,358.87 × 2,551.97
  4. Step 4: Simplify right side
    9,571.86x = 36,643,441.37
  5. Step 5: Solve for x
    x = 36,643,441.37/9,571.86
  6. Step 6: Final answer
    x = 3,828.25

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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.