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Finding the Fourth Proportional to 6,519.64, 8,997.43 and 4,128.72

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Solution

The fourth proportional to 6,519.64, 8,997.43 and 4,128.72 is: 5,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.64 : 8,997.43 = 4,128.72 : x
  2. Step 2: Convert to fraction form
    6,519.64/8,997.43 = 4,128.72/x
  3. Step 3: Cross multiply
    6,519.64x = 8,997.43 × 4,128.72
  4. Step 4: Simplify right side
    6,519.64x = 37,147,883.48
  5. Step 5: Solve for x
    x = 37,147,883.48/6,519.64
  6. Step 6: Final answer
    x = 5,697.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.