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Finding the Fourth Proportional to 6,802.80, 9,386.16 and 3,818.72

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Solution

The fourth proportional to 6,802.80, 9,386.16 and 3,818.72 is: 5,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.80 : 9,386.16 = 3,818.72 : x
  2. Step 2: Convert to fraction form
    6,802.80/9,386.16 = 3,818.72/x
  3. Step 3: Cross multiply
    6,802.80x = 9,386.16 × 3,818.72
  4. Step 4: Simplify right side
    6,802.80x = 35,843,116.92
  5. Step 5: Solve for x
    x = 35,843,116.92/6,802.80
  6. Step 6: Final answer
    x = 5,268.88

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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.