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Finding the Fourth Proportional to 9,700.20, 14,546.70 and 3,855.60

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Solution

The fourth proportional to 9,700.20, 14,546.70 and 3,855.60 is: 5,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.20 : 14,546.70 = 3,855.60 : x
  2. Step 2: Convert to fraction form
    9,700.20/14,546.70 = 3,855.60/x
  3. Step 3: Cross multiply
    9,700.20x = 14,546.70 × 3,855.60
  4. Step 4: Simplify right side
    9,700.20x = 56,086,256.52
  5. Step 5: Solve for x
    x = 56,086,256.52/9,700.20
  6. Step 6: Final answer
    x = 5,781.97

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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.