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Finding the Fourth Proportional to 6,554.80, 9,814.92 and 3,467.44

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Solution

The fourth proportional to 6,554.80, 9,814.92 and 3,467.44 is: 5,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.80 : 9,814.92 = 3,467.44 : x
  2. Step 2: Convert to fraction form
    6,554.80/9,814.92 = 3,467.44/x
  3. Step 3: Cross multiply
    6,554.80x = 9,814.92 × 3,467.44
  4. Step 4: Simplify right side
    6,554.80x = 34,032,646.20
  5. Step 5: Solve for x
    x = 34,032,646.20/6,554.80
  6. Step 6: Final answer
    x = 5,192.02

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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.