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Finding the Fourth Proportional to 7,134.63, 9,845.13 and 4,150.43

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Solution

The fourth proportional to 7,134.63, 9,845.13 and 4,150.43 is: 5,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.63 : 9,845.13 = 4,150.43 : x
  2. Step 2: Convert to fraction form
    7,134.63/9,845.13 = 4,150.43/x
  3. Step 3: Cross multiply
    7,134.63x = 9,845.13 × 4,150.43
  4. Step 4: Simplify right side
    7,134.63x = 40,861,522.91
  5. Step 5: Solve for x
    x = 40,861,522.91/7,134.63
  6. Step 6: Final answer
    x = 5,727.21

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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.