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Finding the Fourth Proportional to 9,712, 14,546.67 and 8,027.05

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Solution

The fourth proportional to 9,712, 14,546.67 and 8,027.05 is: 12,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,546.67 = 8,027.05 : x
  2. Step 2: Convert to fraction form
    9,712/14,546.67 = 8,027.05/x
  3. Step 3: Cross multiply
    9,712x = 14,546.67 × 8,027.05
  4. Step 4: Simplify right side
    9,712x = 116,766,847.42
  5. Step 5: Solve for x
    x = 116,766,847.42/9,712
  6. Step 6: Final answer
    x = 12,022.95

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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.