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Finding the Fourth Proportional to 6,537.42, 9,806.40 and 1,920.42

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Solution

The fourth proportional to 6,537.42, 9,806.40 and 1,920.42 is: 2,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.42 : 9,806.40 = 1,920.42 : x
  2. Step 2: Convert to fraction form
    6,537.42/9,806.40 = 1,920.42/x
  3. Step 3: Cross multiply
    6,537.42x = 9,806.40 × 1,920.42
  4. Step 4: Simplify right side
    6,537.42x = 18,832,406.69
  5. Step 5: Solve for x
    x = 18,832,406.69/6,537.42
  6. Step 6: Final answer
    x = 2,880.71

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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.