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Finding the Fourth Proportional to 7,149.24, 9,865.02 and 4,006

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Solution

The fourth proportional to 7,149.24, 9,865.02 and 4,006 is: 5,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.24 : 9,865.02 = 4,006 : x
  2. Step 2: Convert to fraction form
    7,149.24/9,865.02 = 4,006/x
  3. Step 3: Cross multiply
    7,149.24x = 9,865.02 × 4,006
  4. Step 4: Simplify right side
    7,149.24x = 39,519,270.12
  5. Step 5: Solve for x
    x = 39,519,270.12/7,149.24
  6. Step 6: Final answer
    x = 5,527.76

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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.