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Finding the Fourth Proportional to 9,664.80, 14,497.20 and 8,023.20

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Solution

The fourth proportional to 9,664.80, 14,497.20 and 8,023.20 is: 12,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.80 : 14,497.20 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    9,664.80/14,497.20 = 8,023.20/x
  3. Step 3: Cross multiply
    9,664.80x = 14,497.20 × 8,023.20
  4. Step 4: Simplify right side
    9,664.80x = 116,313,935.04
  5. Step 5: Solve for x
    x = 116,313,935.04/9,664.80
  6. Step 6: Final answer
    x = 12,034.80

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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.