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Finding the Fourth Proportional to 9,775.70, 14,659.44 and 3,198.26

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Solution

The fourth proportional to 9,775.70, 14,659.44 and 3,198.26 is: 4,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.70 : 14,659.44 = 3,198.26 : x
  2. Step 2: Convert to fraction form
    9,775.70/14,659.44 = 3,198.26/x
  3. Step 3: Cross multiply
    9,775.70x = 14,659.44 × 3,198.26
  4. Step 4: Simplify right side
    9,775.70x = 46,884,700.57
  5. Step 5: Solve for x
    x = 46,884,700.57/9,775.70
  6. Step 6: Final answer
    x = 4,796.05

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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.