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Finding the Fourth Proportional to 9,341.28, 12,891.01 and 5,149.54

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Solution

The fourth proportional to 9,341.28, 12,891.01 and 5,149.54 is: 7,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.28 : 12,891.01 = 5,149.54 : x
  2. Step 2: Convert to fraction form
    9,341.28/12,891.01 = 5,149.54/x
  3. Step 3: Cross multiply
    9,341.28x = 12,891.01 × 5,149.54
  4. Step 4: Simplify right side
    9,341.28x = 66,382,771.64
  5. Step 5: Solve for x
    x = 66,382,771.64/9,341.28
  6. Step 6: Final answer
    x = 7,106.39

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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.