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Finding the Fourth Proportional to 9,108.46, 13,668.02 and 3,843.16

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Solution

The fourth proportional to 9,108.46, 13,668.02 and 3,843.16 is: 5,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.46 : 13,668.02 = 3,843.16 : x
  2. Step 2: Convert to fraction form
    9,108.46/13,668.02 = 3,843.16/x
  3. Step 3: Cross multiply
    9,108.46x = 13,668.02 × 3,843.16
  4. Step 4: Simplify right side
    9,108.46x = 52,528,387.74
  5. Step 5: Solve for x
    x = 52,528,387.74/9,108.46
  6. Step 6: Final answer
    x = 5,766.99

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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.