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Finding the Fourth Proportional to 6,688.26, 9,229.55 and 3,663.34

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Solution

The fourth proportional to 6,688.26, 9,229.55 and 3,663.34 is: 5,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.26 : 9,229.55 = 3,663.34 : x
  2. Step 2: Convert to fraction form
    6,688.26/9,229.55 = 3,663.34/x
  3. Step 3: Cross multiply
    6,688.26x = 9,229.55 × 3,663.34
  4. Step 4: Simplify right side
    6,688.26x = 33,810,924.39
  5. Step 5: Solve for x
    x = 33,810,924.39/6,688.26
  6. Step 6: Final answer
    x = 5,055.26

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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.