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Finding the Fourth Proportional to 6,647.19, 9,172.71 and 3,662.86

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Solution

The fourth proportional to 6,647.19, 9,172.71 and 3,662.86 is: 5,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.19 : 9,172.71 = 3,662.86 : x
  2. Step 2: Convert to fraction form
    6,647.19/9,172.71 = 3,662.86/x
  3. Step 3: Cross multiply
    6,647.19x = 9,172.71 × 3,662.86
  4. Step 4: Simplify right side
    6,647.19x = 33,598,329.62
  5. Step 5: Solve for x
    x = 33,598,329.62/6,647.19
  6. Step 6: Final answer
    x = 5,054.52

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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.