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Finding the Fourth Proportional to 9,903.38, 13,667.27 and 5,711.63

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Solution

The fourth proportional to 9,903.38, 13,667.27 and 5,711.63 is: 7,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.38 : 13,667.27 = 5,711.63 : x
  2. Step 2: Convert to fraction form
    9,903.38/13,667.27 = 5,711.63/x
  3. Step 3: Cross multiply
    9,903.38x = 13,667.27 × 5,711.63
  4. Step 4: Simplify right side
    9,903.38x = 78,062,292.46
  5. Step 5: Solve for x
    x = 78,062,292.46/9,903.38
  6. Step 6: Final answer
    x = 7,882.39

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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.