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Finding the Fourth Proportional to 6,305.44, 9,458.16 and 2,410.24

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Solution

The fourth proportional to 6,305.44, 9,458.16 and 2,410.24 is: 3,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.44 : 9,458.16 = 2,410.24 : x
  2. Step 2: Convert to fraction form
    6,305.44/9,458.16 = 2,410.24/x
  3. Step 3: Cross multiply
    6,305.44x = 9,458.16 × 2,410.24
  4. Step 4: Simplify right side
    6,305.44x = 22,796,435.56
  5. Step 5: Solve for x
    x = 22,796,435.56/6,305.44
  6. Step 6: Final answer
    x = 3,615.36

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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.