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Finding the Fourth Proportional to 6,474.44, 9,712.31 and 2,577.94

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Solution

The fourth proportional to 6,474.44, 9,712.31 and 2,577.94 is: 3,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.44 : 9,712.31 = 2,577.94 : x
  2. Step 2: Convert to fraction form
    6,474.44/9,712.31 = 2,577.94/x
  3. Step 3: Cross multiply
    6,474.44x = 9,712.31 × 2,577.94
  4. Step 4: Simplify right side
    6,474.44x = 25,037,715.27
  5. Step 5: Solve for x
    x = 25,037,715.27/6,474.44
  6. Step 6: Final answer
    x = 3,867.16

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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.