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Finding the Fourth Proportional to 9,691.11, 14,543.97 and 6,563.70

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Solution

The fourth proportional to 9,691.11, 14,543.97 and 6,563.70 is: 9,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.11 : 14,543.97 = 6,563.70 : x
  2. Step 2: Convert to fraction form
    9,691.11/14,543.97 = 6,563.70/x
  3. Step 3: Cross multiply
    9,691.11x = 14,543.97 × 6,563.70
  4. Step 4: Simplify right side
    9,691.11x = 95,462,292.25
  5. Step 5: Solve for x
    x = 95,462,292.25/9,691.11
  6. Step 6: Final answer
    x = 9,850.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.