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Finding the Fourth Proportional to 9,412.76, 14,050.39 and 8,727.50

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Solution

The fourth proportional to 9,412.76, 14,050.39 and 8,727.50 is: 13,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.76 : 14,050.39 = 8,727.50 : x
  2. Step 2: Convert to fraction form
    9,412.76/14,050.39 = 8,727.50/x
  3. Step 3: Cross multiply
    9,412.76x = 14,050.39 × 8,727.50
  4. Step 4: Simplify right side
    9,412.76x = 122,624,778.73
  5. Step 5: Solve for x
    x = 122,624,778.73/9,412.76
  6. Step 6: Final answer
    x = 13,027.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.