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Finding the Fourth Proportional to 6,297.36, 9,440.56 and 2,597.28

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Solution

The fourth proportional to 6,297.36, 9,440.56 and 2,597.28 is: 3,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.36 : 9,440.56 = 2,597.28 : x
  2. Step 2: Convert to fraction form
    6,297.36/9,440.56 = 2,597.28/x
  3. Step 3: Cross multiply
    6,297.36x = 9,440.56 × 2,597.28
  4. Step 4: Simplify right side
    6,297.36x = 24,519,777.68
  5. Step 5: Solve for x
    x = 24,519,777.68/6,297.36
  6. Step 6: Final answer
    x = 3,893.66

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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.