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Finding the Fourth Proportional to 6,385.64, 9,562.05 and 3,912.96

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Solution

The fourth proportional to 6,385.64, 9,562.05 and 3,912.96 is: 5,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.64 : 9,562.05 = 3,912.96 : x
  2. Step 2: Convert to fraction form
    6,385.64/9,562.05 = 3,912.96/x
  3. Step 3: Cross multiply
    6,385.64x = 9,562.05 × 3,912.96
  4. Step 4: Simplify right side
    6,385.64x = 37,415,901.24
  5. Step 5: Solve for x
    x = 37,415,901.24/6,385.64
  6. Step 6: Final answer
    x = 5,859.39

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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.