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Finding the Fourth Proportional to 9,711.92, 14,571.12 and 4,784.96

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Solution

The fourth proportional to 9,711.92, 14,571.12 and 4,784.96 is: 7,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.92 : 14,571.12 = 4,784.96 : x
  2. Step 2: Convert to fraction form
    9,711.92/14,571.12 = 4,784.96/x
  3. Step 3: Cross multiply
    9,711.92x = 14,571.12 × 4,784.96
  4. Step 4: Simplify right side
    9,711.92x = 69,722,153.50
  5. Step 5: Solve for x
    x = 69,722,153.50/9,711.92
  6. Step 6: Final answer
    x = 7,179.03

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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.