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Finding the Fourth Proportional to 6,439.16, 9,657.48 and 3,148.94

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Solution

The fourth proportional to 6,439.16, 9,657.48 and 3,148.94 is: 4,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.16 : 9,657.48 = 3,148.94 : x
  2. Step 2: Convert to fraction form
    6,439.16/9,657.48 = 3,148.94/x
  3. Step 3: Cross multiply
    6,439.16x = 9,657.48 × 3,148.94
  4. Step 4: Simplify right side
    6,439.16x = 30,410,825.07
  5. Step 5: Solve for x
    x = 30,410,825.07/6,439.16
  6. Step 6: Final answer
    x = 4,722.79

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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.