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Finding the Fourth Proportional to 7,044.01, 9,720.74 and 3,900.13

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Solution

The fourth proportional to 7,044.01, 9,720.74 and 3,900.13 is: 5,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.01 : 9,720.74 = 3,900.13 : x
  2. Step 2: Convert to fraction form
    7,044.01/9,720.74 = 3,900.13/x
  3. Step 3: Cross multiply
    7,044.01x = 9,720.74 × 3,900.13
  4. Step 4: Simplify right side
    7,044.01x = 37,912,081.59
  5. Step 5: Solve for x
    x = 37,912,081.59/7,044.01
  6. Step 6: Final answer
    x = 5,382.18

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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.