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Finding the Fourth Proportional to 9,333.38, 12,880.67 and 6,190.17

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Solution

The fourth proportional to 9,333.38, 12,880.67 and 6,190.17 is: 8,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.38 : 12,880.67 = 6,190.17 : x
  2. Step 2: Convert to fraction form
    9,333.38/12,880.67 = 6,190.17/x
  3. Step 3: Cross multiply
    9,333.38x = 12,880.67 × 6,190.17
  4. Step 4: Simplify right side
    9,333.38x = 79,733,506.06
  5. Step 5: Solve for x
    x = 79,733,506.06/9,333.38
  6. Step 6: Final answer
    x = 8,542.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.