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Finding the Fourth Proportional to 9,191.43, 12,684.45 and 5,212.71

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Solution

The fourth proportional to 9,191.43, 12,684.45 and 5,212.71 is: 7,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.43 : 12,684.45 = 5,212.71 : x
  2. Step 2: Convert to fraction form
    9,191.43/12,684.45 = 5,212.71/x
  3. Step 3: Cross multiply
    9,191.43x = 12,684.45 × 5,212.71
  4. Step 4: Simplify right side
    9,191.43x = 66,120,359.36
  5. Step 5: Solve for x
    x = 66,120,359.36/9,191.43
  6. Step 6: Final answer
    x = 7,193.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.