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Finding the Fourth Proportional to 9,601.80, 14,373.90 and 8,449.80

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Solution

The fourth proportional to 9,601.80, 14,373.90 and 8,449.80 is: 12,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.80 : 14,373.90 = 8,449.80 : x
  2. Step 2: Convert to fraction form
    9,601.80/14,373.90 = 8,449.80/x
  3. Step 3: Cross multiply
    9,601.80x = 14,373.90 × 8,449.80
  4. Step 4: Simplify right side
    9,601.80x = 121,456,580.22
  5. Step 5: Solve for x
    x = 121,456,580.22/9,601.80
  6. Step 6: Final answer
    x = 12,649.36

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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.