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Finding the Fourth Proportional to 9,191.97, 12,685.07 and 5,000.22

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Solution

The fourth proportional to 9,191.97, 12,685.07 and 5,000.22 is: 6,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.97 : 12,685.07 = 5,000.22 : x
  2. Step 2: Convert to fraction form
    9,191.97/12,685.07 = 5,000.22/x
  3. Step 3: Cross multiply
    9,191.97x = 12,685.07 × 5,000.22
  4. Step 4: Simplify right side
    9,191.97x = 63,428,140.72
  5. Step 5: Solve for x
    x = 63,428,140.72/9,191.97
  6. Step 6: Final answer
    x = 6,900.39

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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.