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Finding the Fourth Proportional to 6,477.52, 9,708.99 and 2,577.37

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Solution

The fourth proportional to 6,477.52, 9,708.99 and 2,577.37 is: 3,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.52 : 9,708.99 = 2,577.37 : x
  2. Step 2: Convert to fraction form
    6,477.52/9,708.99 = 2,577.37/x
  3. Step 3: Cross multiply
    6,477.52x = 9,708.99 × 2,577.37
  4. Step 4: Simplify right side
    6,477.52x = 25,023,659.56
  5. Step 5: Solve for x
    x = 25,023,659.56/6,477.52
  6. Step 6: Final answer
    x = 3,863.15

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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.