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Finding the Fourth Proportional to 9,486.81, 14,205.38 and 6,190.65

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Solution

The fourth proportional to 9,486.81, 14,205.38 and 6,190.65 is: 9,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.81 : 14,205.38 = 6,190.65 : x
  2. Step 2: Convert to fraction form
    9,486.81/14,205.38 = 6,190.65/x
  3. Step 3: Cross multiply
    9,486.81x = 14,205.38 × 6,190.65
  4. Step 4: Simplify right side
    9,486.81x = 87,940,504.74
  5. Step 5: Solve for x
    x = 87,940,504.74/9,486.81
  6. Step 6: Final answer
    x = 9,269.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.