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Finding the Fourth Proportional to 8,201.28, 12,275.16 and 6,009.48

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Solution

The fourth proportional to 8,201.28, 12,275.16 and 6,009.48 is: 8,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.28 : 12,275.16 = 6,009.48 : x
  2. Step 2: Convert to fraction form
    8,201.28/12,275.16 = 6,009.48/x
  3. Step 3: Cross multiply
    8,201.28x = 12,275.16 × 6,009.48
  4. Step 4: Simplify right side
    8,201.28x = 73,767,328.52
  5. Step 5: Solve for x
    x = 73,767,328.52/8,201.28
  6. Step 6: Final answer
    x = 8,994.61

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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.