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Finding the Fourth Proportional to 9,294.80, 13,942.16 and 2,369.28

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Solution

The fourth proportional to 9,294.80, 13,942.16 and 2,369.28 is: 3,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.80 : 13,942.16 = 2,369.28 : x
  2. Step 2: Convert to fraction form
    9,294.80/13,942.16 = 2,369.28/x
  3. Step 3: Cross multiply
    9,294.80x = 13,942.16 × 2,369.28
  4. Step 4: Simplify right side
    9,294.80x = 33,032,880.84
  5. Step 5: Solve for x
    x = 33,032,880.84/9,294.80
  6. Step 6: Final answer
    x = 3,553.91

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Why These Related Problems?

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