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Finding the Fourth Proportional to 6,647.37, 9,172.06 and 5,053.60

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Solution

The fourth proportional to 6,647.37, 9,172.06 and 5,053.60 is: 6,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.37 : 9,172.06 = 5,053.60 : x
  2. Step 2: Convert to fraction form
    6,647.37/9,172.06 = 5,053.60/x
  3. Step 3: Cross multiply
    6,647.37x = 9,172.06 × 5,053.60
  4. Step 4: Simplify right side
    6,647.37x = 46,351,922.42
  5. Step 5: Solve for x
    x = 46,351,922.42/6,647.37
  6. Step 6: Final answer
    x = 6,972.97

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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.