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Finding the Fourth Proportional to 9,333.84, 14,002.71 and 3,093.48

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Solution

The fourth proportional to 9,333.84, 14,002.71 and 3,093.48 is: 4,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.84 : 14,002.71 = 3,093.48 : x
  2. Step 2: Convert to fraction form
    9,333.84/14,002.71 = 3,093.48/x
  3. Step 3: Cross multiply
    9,333.84x = 14,002.71 × 3,093.48
  4. Step 4: Simplify right side
    9,333.84x = 43,317,103.33
  5. Step 5: Solve for x
    x = 43,317,103.33/9,333.84
  6. Step 6: Final answer
    x = 4,640.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.