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Finding the Fourth Proportional to 6,450.96, 8,903.76 and 4,096.32

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Solution

The fourth proportional to 6,450.96, 8,903.76 and 4,096.32 is: 5,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.96 : 8,903.76 = 4,096.32 : x
  2. Step 2: Convert to fraction form
    6,450.96/8,903.76 = 4,096.32/x
  3. Step 3: Cross multiply
    6,450.96x = 8,903.76 × 4,096.32
  4. Step 4: Simplify right side
    6,450.96x = 36,472,650.16
  5. Step 5: Solve for x
    x = 36,472,650.16/6,450.96
  6. Step 6: Final answer
    x = 5,653.83

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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.