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Finding the Fourth Proportional to 6,802.36, 9,387.74 and 3,818.48

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Solution

The fourth proportional to 6,802.36, 9,387.74 and 3,818.48 is: 5,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.36 : 9,387.74 = 3,818.48 : x
  2. Step 2: Convert to fraction form
    6,802.36/9,387.74 = 3,818.48/x
  3. Step 3: Cross multiply
    6,802.36x = 9,387.74 × 3,818.48
  4. Step 4: Simplify right side
    6,802.36x = 35,846,897.44
  5. Step 5: Solve for x
    x = 35,846,897.44/6,802.36
  6. Step 6: Final answer
    x = 5,269.77

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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.