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Finding the Fourth Proportional to 9,520.14, 13,135.97 and 6,162.49

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Solution

The fourth proportional to 9,520.14, 13,135.97 and 6,162.49 is: 8,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.14 : 13,135.97 = 6,162.49 : x
  2. Step 2: Convert to fraction form
    9,520.14/13,135.97 = 6,162.49/x
  3. Step 3: Cross multiply
    9,520.14x = 13,135.97 × 6,162.49
  4. Step 4: Simplify right side
    9,520.14x = 80,950,283.77
  5. Step 5: Solve for x
    x = 80,950,283.77/9,520.14
  6. Step 6: Final answer
    x = 8,503.06

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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.