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Finding the Fourth Proportional to 6,646.32, 9,172.26 and 3,662.28

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Solution

The fourth proportional to 6,646.32, 9,172.26 and 3,662.28 is: 5,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.32 : 9,172.26 = 3,662.28 : x
  2. Step 2: Convert to fraction form
    6,646.32/9,172.26 = 3,662.28/x
  3. Step 3: Cross multiply
    6,646.32x = 9,172.26 × 3,662.28
  4. Step 4: Simplify right side
    6,646.32x = 33,591,384.35
  5. Step 5: Solve for x
    x = 33,591,384.35/6,646.32
  6. Step 6: Final answer
    x = 5,054.13

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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.