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Finding the Fourth Proportional to 7,009.82, 9,673.26 and 3,823.06

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Solution

The fourth proportional to 7,009.82, 9,673.26 and 3,823.06 is: 5,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.82 : 9,673.26 = 3,823.06 : x
  2. Step 2: Convert to fraction form
    7,009.82/9,673.26 = 3,823.06/x
  3. Step 3: Cross multiply
    7,009.82x = 9,673.26 × 3,823.06
  4. Step 4: Simplify right side
    7,009.82x = 36,981,453.38
  5. Step 5: Solve for x
    x = 36,981,453.38/7,009.82
  6. Step 6: Final answer
    x = 5,275.66

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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.