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Finding the Fourth Proportional to 9,170.69, 12,640.79 and 6,185.57

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Solution

The fourth proportional to 9,170.69, 12,640.79 and 6,185.57 is: 8,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.69 : 12,640.79 = 6,185.57 : x
  2. Step 2: Convert to fraction form
    9,170.69/12,640.79 = 6,185.57/x
  3. Step 3: Cross multiply
    9,170.69x = 12,640.79 × 6,185.57
  4. Step 4: Simplify right side
    9,170.69x = 78,190,443.66
  5. Step 5: Solve for x
    x = 78,190,443.66/9,170.69
  6. Step 6: Final answer
    x = 8,526.13

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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.