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Finding the Fourth Proportional to 9,295.38, 13,943.16 and 2,369.88

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Solution

The fourth proportional to 9,295.38, 13,943.16 and 2,369.88 is: 3,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.38 : 13,943.16 = 2,369.88 : x
  2. Step 2: Convert to fraction form
    9,295.38/13,943.16 = 2,369.88/x
  3. Step 3: Cross multiply
    9,295.38x = 13,943.16 × 2,369.88
  4. Step 4: Simplify right side
    9,295.38x = 33,043,616.02
  5. Step 5: Solve for x
    x = 33,043,616.02/9,295.38
  6. Step 6: Final answer
    x = 3,554.84

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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.