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Finding the Fourth Proportional to 9,194.83, 12,691.47 and 5,420.19

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Solution

The fourth proportional to 9,194.83, 12,691.47 and 5,420.19 is: 7,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.83 : 12,691.47 = 5,420.19 : x
  2. Step 2: Convert to fraction form
    9,194.83/12,691.47 = 5,420.19/x
  3. Step 3: Cross multiply
    9,194.83x = 12,691.47 × 5,420.19
  4. Step 4: Simplify right side
    9,194.83x = 68,790,178.78
  5. Step 5: Solve for x
    x = 68,790,178.78/9,194.83
  6. Step 6: Final answer
    x = 7,481.40

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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.