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Finding the Fourth Proportional to 8,933.84, 13,349.56 and 6,813.84

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Solution

The fourth proportional to 8,933.84, 13,349.56 and 6,813.84 is: 10,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.84 : 13,349.56 = 6,813.84 : x
  2. Step 2: Convert to fraction form
    8,933.84/13,349.56 = 6,813.84/x
  3. Step 3: Cross multiply
    8,933.84x = 13,349.56 × 6,813.84
  4. Step 4: Simplify right side
    8,933.84x = 90,961,765.91
  5. Step 5: Solve for x
    x = 90,961,765.91/8,933.84
  6. Step 6: Final answer
    x = 10,181.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.