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Finding the Fourth Proportional to 6,987.39, 9,640.65 and 4,467.81

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Solution

The fourth proportional to 6,987.39, 9,640.65 and 4,467.81 is: 6,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.39 : 9,640.65 = 4,467.81 : x
  2. Step 2: Convert to fraction form
    6,987.39/9,640.65 = 4,467.81/x
  3. Step 3: Cross multiply
    6,987.39x = 9,640.65 × 4,467.81
  4. Step 4: Simplify right side
    6,987.39x = 43,072,592.48
  5. Step 5: Solve for x
    x = 43,072,592.48/6,987.39
  6. Step 6: Final answer
    x = 6,164.33

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