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Finding the Fourth Proportional to 7,047.44, 9,723.05 and 4,020.38

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Solution

The fourth proportional to 7,047.44, 9,723.05 and 4,020.38 is: 5,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.44 : 9,723.05 = 4,020.38 : x
  2. Step 2: Convert to fraction form
    7,047.44/9,723.05 = 4,020.38/x
  3. Step 3: Cross multiply
    7,047.44x = 9,723.05 × 4,020.38
  4. Step 4: Simplify right side
    7,047.44x = 39,090,370.02
  5. Step 5: Solve for x
    x = 39,090,370.02/7,047.44
  6. Step 6: Final answer
    x = 5,546.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.