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Finding the Fourth Proportional to 9,294.96, 12,824.85 and 5,318.27

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Solution

The fourth proportional to 9,294.96, 12,824.85 and 5,318.27 is: 7,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.96 : 12,824.85 = 5,318.27 : x
  2. Step 2: Convert to fraction form
    9,294.96/12,824.85 = 5,318.27/x
  3. Step 3: Cross multiply
    9,294.96x = 12,824.85 × 5,318.27
  4. Step 4: Simplify right side
    9,294.96x = 68,206,015.01
  5. Step 5: Solve for x
    x = 68,206,015.01/9,294.96
  6. Step 6: Final answer
    x = 7,337.96

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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.