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Finding the Fourth Proportional to 6,802.22, 9,386.81 and 3,969.65

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Solution

The fourth proportional to 6,802.22, 9,386.81 and 3,969.65 is: 5,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.22 : 9,386.81 = 3,969.65 : x
  2. Step 2: Convert to fraction form
    6,802.22/9,386.81 = 3,969.65/x
  3. Step 3: Cross multiply
    6,802.22x = 9,386.81 × 3,969.65
  4. Step 4: Simplify right side
    6,802.22x = 37,262,350.32
  5. Step 5: Solve for x
    x = 37,262,350.32/6,802.22
  6. Step 6: Final answer
    x = 5,477.97

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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.