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Finding the Fourth Proportional to 9,385.88, 12,952.38 and 5,194.04

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Solution

The fourth proportional to 9,385.88, 12,952.38 and 5,194.04 is: 7,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.88 : 12,952.38 = 5,194.04 : x
  2. Step 2: Convert to fraction form
    9,385.88/12,952.38 = 5,194.04/x
  3. Step 3: Cross multiply
    9,385.88x = 12,952.38 × 5,194.04
  4. Step 4: Simplify right side
    9,385.88x = 67,275,179.82
  5. Step 5: Solve for x
    x = 67,275,179.82/9,385.88
  6. Step 6: Final answer
    x = 7,167.70

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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.