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Finding the Fourth Proportional to 9,743.84, 13,445.68 and 5,965.38

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Solution

The fourth proportional to 9,743.84, 13,445.68 and 5,965.38 is: 8,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.84 : 13,445.68 = 5,965.38 : x
  2. Step 2: Convert to fraction form
    9,743.84/13,445.68 = 5,965.38/x
  3. Step 3: Cross multiply
    9,743.84x = 13,445.68 × 5,965.38
  4. Step 4: Simplify right side
    9,743.84x = 80,208,590.56
  5. Step 5: Solve for x
    x = 80,208,590.56/9,743.84
  6. Step 6: Final answer
    x = 8,231.72

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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.