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Finding the Fourth Proportional to 9,908.38, 13,668.51 and 7,546.42

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Solution

The fourth proportional to 9,908.38, 13,668.51 and 7,546.42 is: 10,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.38 : 13,668.51 = 7,546.42 : x
  2. Step 2: Convert to fraction form
    9,908.38/13,668.51 = 7,546.42/x
  3. Step 3: Cross multiply
    9,908.38x = 13,668.51 × 7,546.42
  4. Step 4: Simplify right side
    9,908.38x = 103,148,317.23
  5. Step 5: Solve for x
    x = 103,148,317.23/9,908.38
  6. Step 6: Final answer
    x = 10,410.21

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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.