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Finding the Fourth Proportional to 6,516.80, 9,775.16 and 3,229

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Solution

The fourth proportional to 6,516.80, 9,775.16 and 3,229 is: 4,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.80 : 9,775.16 = 3,229 : x
  2. Step 2: Convert to fraction form
    6,516.80/9,775.16 = 3,229/x
  3. Step 3: Cross multiply
    6,516.80x = 9,775.16 × 3,229
  4. Step 4: Simplify right side
    6,516.80x = 31,563,991.64
  5. Step 5: Solve for x
    x = 31,563,991.64/6,516.80
  6. Step 6: Final answer
    x = 4,843.48

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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.