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Finding the Fourth Proportional to 9,191.99, 12,684.89 and 5,415.12

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Solution

The fourth proportional to 9,191.99, 12,684.89 and 5,415.12 is: 7,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.99 : 12,684.89 = 5,415.12 : x
  2. Step 2: Convert to fraction form
    9,191.99/12,684.89 = 5,415.12/x
  3. Step 3: Cross multiply
    9,191.99x = 12,684.89 × 5,415.12
  4. Step 4: Simplify right side
    9,191.99x = 68,690,174.46
  5. Step 5: Solve for x
    x = 68,690,174.46/9,191.99
  6. Step 6: Final answer
    x = 7,472.83

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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.