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Finding the Fourth Proportional to 6,297.63, 8,654.25 and 6,008.55

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Solution

The fourth proportional to 6,297.63, 8,654.25 and 6,008.55 is: 8,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.63 : 8,654.25 = 6,008.55 : x
  2. Step 2: Convert to fraction form
    6,297.63/8,654.25 = 6,008.55/x
  3. Step 3: Cross multiply
    6,297.63x = 8,654.25 × 6,008.55
  4. Step 4: Simplify right side
    6,297.63x = 51,999,493.84
  5. Step 5: Solve for x
    x = 51,999,493.84/6,297.63
  6. Step 6: Final answer
    x = 8,256.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.