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Finding the Fourth Proportional to 6,319.68, 9,471.36 and 3,025.92

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Solution

The fourth proportional to 6,319.68, 9,471.36 and 3,025.92 is: 4,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.68 : 9,471.36 = 3,025.92 : x
  2. Step 2: Convert to fraction form
    6,319.68/9,471.36 = 3,025.92/x
  3. Step 3: Cross multiply
    6,319.68x = 9,471.36 × 3,025.92
  4. Step 4: Simplify right side
    6,319.68x = 28,659,577.65
  5. Step 5: Solve for x
    x = 28,659,577.65/6,319.68
  6. Step 6: Final answer
    x = 4,534.97

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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.