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Finding the Fourth Proportional to 6,479.12, 9,712.56 and 5,311.64

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Solution

The fourth proportional to 6,479.12, 9,712.56 and 5,311.64 is: 7,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.12 : 9,712.56 = 5,311.64 : x
  2. Step 2: Convert to fraction form
    6,479.12/9,712.56 = 5,311.64/x
  3. Step 3: Cross multiply
    6,479.12x = 9,712.56 × 5,311.64
  4. Step 4: Simplify right side
    6,479.12x = 51,589,622.20
  5. Step 5: Solve for x
    x = 51,589,622.20/6,479.12
  6. Step 6: Final answer
    x = 7,962.44

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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.