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Finding the Fourth Proportional to 6,399.42, 9,599.18 and 1,957.17

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Solution

The fourth proportional to 6,399.42, 9,599.18 and 1,957.17 is: 2,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.42 : 9,599.18 = 1,957.17 : x
  2. Step 2: Convert to fraction form
    6,399.42/9,599.18 = 1,957.17/x
  3. Step 3: Cross multiply
    6,399.42x = 9,599.18 × 1,957.17
  4. Step 4: Simplify right side
    6,399.42x = 18,787,253.33
  5. Step 5: Solve for x
    x = 18,787,253.33/6,399.42
  6. Step 6: Final answer
    x = 2,935.78

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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.