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Finding the Fourth Proportional to 9,967.92, 14,932.44 and 8,581.20

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Solution

The fourth proportional to 9,967.92, 14,932.44 and 8,581.20 is: 12,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.92 : 14,932.44 = 8,581.20 : x
  2. Step 2: Convert to fraction form
    9,967.92/14,932.44 = 8,581.20/x
  3. Step 3: Cross multiply
    9,967.92x = 14,932.44 × 8,581.20
  4. Step 4: Simplify right side
    9,967.92x = 128,138,254.13
  5. Step 5: Solve for x
    x = 128,138,254.13/9,967.92
  6. Step 6: Final answer
    x = 12,855.06

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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.