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Finding the Fourth Proportional to 9,143.92, 12,619.38 and 5,165.20

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Solution

The fourth proportional to 9,143.92, 12,619.38 and 5,165.20 is: 7,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.92 : 12,619.38 = 5,165.20 : x
  2. Step 2: Convert to fraction form
    9,143.92/12,619.38 = 5,165.20/x
  3. Step 3: Cross multiply
    9,143.92x = 12,619.38 × 5,165.20
  4. Step 4: Simplify right side
    9,143.92x = 65,181,621.58
  5. Step 5: Solve for x
    x = 65,181,621.58/9,143.92
  6. Step 6: Final answer
    x = 7,128.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.