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Finding the Fourth Proportional to 9,907.38, 13,667.13 and 7,545.42

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Solution

The fourth proportional to 9,907.38, 13,667.13 and 7,545.42 is: 10,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.38 : 13,667.13 = 7,545.42 : x
  2. Step 2: Convert to fraction form
    9,907.38/13,667.13 = 7,545.42/x
  3. Step 3: Cross multiply
    9,907.38x = 13,667.13 × 7,545.42
  4. Step 4: Simplify right side
    9,907.38x = 103,124,236.04
  5. Step 5: Solve for x
    x = 103,124,236.04/9,907.38
  6. Step 6: Final answer
    x = 10,408.83

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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.