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Finding the Fourth Proportional to 9,446.15, 13,035.40 and 5,197.21

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Solution

The fourth proportional to 9,446.15, 13,035.40 and 5,197.21 is: 7,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.15 : 13,035.40 = 5,197.21 : x
  2. Step 2: Convert to fraction form
    9,446.15/13,035.40 = 5,197.21/x
  3. Step 3: Cross multiply
    9,446.15x = 13,035.40 × 5,197.21
  4. Step 4: Simplify right side
    9,446.15x = 67,747,711.23
  5. Step 5: Solve for x
    x = 67,747,711.23/9,446.15
  6. Step 6: Final answer
    x = 7,171.99

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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.