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Finding the Fourth Proportional to 6,425.32, 9,644.46 and 4,338.76

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Solution

The fourth proportional to 6,425.32, 9,644.46 and 4,338.76 is: 6,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.32 : 9,644.46 = 4,338.76 : x
  2. Step 2: Convert to fraction form
    6,425.32/9,644.46 = 4,338.76/x
  3. Step 3: Cross multiply
    6,425.32x = 9,644.46 × 4,338.76
  4. Step 4: Simplify right side
    6,425.32x = 41,844,997.27
  5. Step 5: Solve for x
    x = 41,844,997.27/6,425.32
  6. Step 6: Final answer
    x = 6,512.52

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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.