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Finding the Fourth Proportional to 9,470.25, 14,213.07 and 8,092.44

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Solution

The fourth proportional to 9,470.25, 14,213.07 and 8,092.44 is: 12,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.25 : 14,213.07 = 8,092.44 : x
  2. Step 2: Convert to fraction form
    9,470.25/14,213.07 = 8,092.44/x
  3. Step 3: Cross multiply
    9,470.25x = 14,213.07 × 8,092.44
  4. Step 4: Simplify right side
    9,470.25x = 115,018,416.19
  5. Step 5: Solve for x
    x = 115,018,416.19/9,470.25
  6. Step 6: Final answer
    x = 12,145.24

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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.