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Finding the Fourth Proportional to 9,336.36, 12,884.82 and 5,703.96

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Solution

The fourth proportional to 9,336.36, 12,884.82 and 5,703.96 is: 7,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.36 : 12,884.82 = 5,703.96 : x
  2. Step 2: Convert to fraction form
    9,336.36/12,884.82 = 5,703.96/x
  3. Step 3: Cross multiply
    9,336.36x = 12,884.82 × 5,703.96
  4. Step 4: Simplify right side
    9,336.36x = 73,494,524.82
  5. Step 5: Solve for x
    x = 73,494,524.82/9,336.36
  6. Step 6: Final answer
    x = 7,871.86

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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.