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Finding the Fourth Proportional to 9,416.90, 14,120.91 and 5,469.41

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Solution

The fourth proportional to 9,416.90, 14,120.91 and 5,469.41 is: 8,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.90 : 14,120.91 = 5,469.41 : x
  2. Step 2: Convert to fraction form
    9,416.90/14,120.91 = 5,469.41/x
  3. Step 3: Cross multiply
    9,416.90x = 14,120.91 × 5,469.41
  4. Step 4: Simplify right side
    9,416.90x = 77,232,975.76
  5. Step 5: Solve for x
    x = 77,232,975.76/9,416.90
  6. Step 6: Final answer
    x = 8,201.53

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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.