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Finding the Fourth Proportional to 9,191.67, 12,684.77 and 5,212.64

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Solution

The fourth proportional to 9,191.67, 12,684.77 and 5,212.64 is: 7,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.67 : 12,684.77 = 5,212.64 : x
  2. Step 2: Convert to fraction form
    9,191.67/12,684.77 = 5,212.64/x
  3. Step 3: Cross multiply
    9,191.67x = 12,684.77 × 5,212.64
  4. Step 4: Simplify right side
    9,191.67x = 66,121,139.49
  5. Step 5: Solve for x
    x = 66,121,139.49/9,191.67
  6. Step 6: Final answer
    x = 7,193.59

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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.