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Finding the Fourth Proportional to 6,802.14, 9,386.97 and 3,971.46

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Solution

The fourth proportional to 6,802.14, 9,386.97 and 3,971.46 is: 5,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.14 : 9,386.97 = 3,971.46 : x
  2. Step 2: Convert to fraction form
    6,802.14/9,386.97 = 3,971.46/x
  3. Step 3: Cross multiply
    6,802.14x = 9,386.97 × 3,971.46
  4. Step 4: Simplify right side
    6,802.14x = 37,279,975.88
  5. Step 5: Solve for x
    x = 37,279,975.88/6,802.14
  6. Step 6: Final answer
    x = 5,480.62

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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.