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Finding the Fourth Proportional to 9,191.49, 12,684.26 and 5,212.62

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Solution

The fourth proportional to 9,191.49, 12,684.26 and 5,212.62 is: 7,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.49 : 12,684.26 = 5,212.62 : x
  2. Step 2: Convert to fraction form
    9,191.49/12,684.26 = 5,212.62/x
  3. Step 3: Cross multiply
    9,191.49x = 12,684.26 × 5,212.62
  4. Step 4: Simplify right side
    9,191.49x = 66,118,227.36
  5. Step 5: Solve for x
    x = 66,118,227.36/9,191.49
  6. Step 6: Final answer
    x = 7,193.42

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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.