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Finding the Fourth Proportional to 7,009.76, 9,673.44 and 3,866

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Solution

The fourth proportional to 7,009.76, 9,673.44 and 3,866 is: 5,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.76 : 9,673.44 = 3,866 : x
  2. Step 2: Convert to fraction form
    7,009.76/9,673.44 = 3,866/x
  3. Step 3: Cross multiply
    7,009.76x = 9,673.44 × 3,866
  4. Step 4: Simplify right side
    7,009.76x = 37,397,519.04
  5. Step 5: Solve for x
    x = 37,397,519.04/7,009.76
  6. Step 6: Final answer
    x = 5,335.06

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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.