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Finding the Fourth Proportional to 6,647.70, 9,173.70 and 3,663.80

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Solution

The fourth proportional to 6,647.70, 9,173.70 and 3,663.80 is: 5,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.70 : 9,173.70 = 3,663.80 : x
  2. Step 2: Convert to fraction form
    6,647.70/9,173.70 = 3,663.80/x
  3. Step 3: Cross multiply
    6,647.70x = 9,173.70 × 3,663.80
  4. Step 4: Simplify right side
    6,647.70x = 33,610,602.06
  5. Step 5: Solve for x
    x = 33,610,602.06/6,647.70
  6. Step 6: Final answer
    x = 5,055.97

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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.