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Finding the Fourth Proportional to 6,647.36, 9,173.02 and 3,663.13

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Solution

The fourth proportional to 6,647.36, 9,173.02 and 3,663.13 is: 5,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.36 : 9,173.02 = 3,663.13 : x
  2. Step 2: Convert to fraction form
    6,647.36/9,173.02 = 3,663.13/x
  3. Step 3: Cross multiply
    6,647.36x = 9,173.02 × 3,663.13
  4. Step 4: Simplify right side
    6,647.36x = 33,601,918.89
  5. Step 5: Solve for x
    x = 33,601,918.89/6,647.36
  6. Step 6: Final answer
    x = 5,054.93

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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.