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Finding the Fourth Proportional to 6,410.16, 9,604.56 and 2,512.32

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Solution

The fourth proportional to 6,410.16, 9,604.56 and 2,512.32 is: 3,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.16 : 9,604.56 = 2,512.32 : x
  2. Step 2: Convert to fraction form
    6,410.16/9,604.56 = 2,512.32/x
  3. Step 3: Cross multiply
    6,410.16x = 9,604.56 × 2,512.32
  4. Step 4: Simplify right side
    6,410.16x = 24,129,728.18
  5. Step 5: Solve for x
    x = 24,129,728.18/6,410.16
  6. Step 6: Final answer
    x = 3,764.29

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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.