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Finding the Fourth Proportional to 6,474.08, 9,709.68 and 2,577.44

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Solution

The fourth proportional to 6,474.08, 9,709.68 and 2,577.44 is: 3,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.08 : 9,709.68 = 2,577.44 : x
  2. Step 2: Convert to fraction form
    6,474.08/9,709.68 = 2,577.44/x
  3. Step 3: Cross multiply
    6,474.08x = 9,709.68 × 2,577.44
  4. Step 4: Simplify right side
    6,474.08x = 25,026,117.62
  5. Step 5: Solve for x
    x = 25,026,117.62/6,474.08
  6. Step 6: Final answer
    x = 3,865.59

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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.