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Finding the Fourth Proportional to 6,709.64, 10,064.72 and 3,197.84

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Solution

The fourth proportional to 6,709.64, 10,064.72 and 3,197.84 is: 4,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.64 : 10,064.72 = 3,197.84 : x
  2. Step 2: Convert to fraction form
    6,709.64/10,064.72 = 3,197.84/x
  3. Step 3: Cross multiply
    6,709.64x = 10,064.72 × 3,197.84
  4. Step 4: Simplify right side
    6,709.64x = 32,185,364.20
  5. Step 5: Solve for x
    x = 32,185,364.20/6,709.64
  6. Step 6: Final answer
    x = 4,796.88

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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.