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Finding the Fourth Proportional to 9,416.25, 14,105.88 and 6,454.22

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Solution

The fourth proportional to 9,416.25, 14,105.88 and 6,454.22 is: 9,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.25 : 14,105.88 = 6,454.22 : x
  2. Step 2: Convert to fraction form
    9,416.25/14,105.88 = 6,454.22/x
  3. Step 3: Cross multiply
    9,416.25x = 14,105.88 × 6,454.22
  4. Step 4: Simplify right side
    9,416.25x = 91,042,382.28
  5. Step 5: Solve for x
    x = 91,042,382.28/9,416.25
  6. Step 6: Final answer
    x = 9,668.65

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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.