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Finding the Fourth Proportional to 7,029.73, 9,700.73 and 3,842.97

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Solution

The fourth proportional to 7,029.73, 9,700.73 and 3,842.97 is: 5,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.73 : 9,700.73 = 3,842.97 : x
  2. Step 2: Convert to fraction form
    7,029.73/9,700.73 = 3,842.97/x
  3. Step 3: Cross multiply
    7,029.73x = 9,700.73 × 3,842.97
  4. Step 4: Simplify right side
    7,029.73x = 37,279,546.65
  5. Step 5: Solve for x
    x = 37,279,546.65/7,029.73
  6. Step 6: Final answer
    x = 5,303.13

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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.