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Finding the Fourth Proportional to 9,412.62, 13,006.32 and 6,755.42

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Solution

The fourth proportional to 9,412.62, 13,006.32 and 6,755.42 is: 9,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.62 : 13,006.32 = 6,755.42 : x
  2. Step 2: Convert to fraction form
    9,412.62/13,006.32 = 6,755.42/x
  3. Step 3: Cross multiply
    9,412.62x = 13,006.32 × 6,755.42
  4. Step 4: Simplify right side
    9,412.62x = 87,863,154.25
  5. Step 5: Solve for x
    x = 87,863,154.25/9,412.62
  6. Step 6: Final answer
    x = 9,334.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.