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Finding the Fourth Proportional to 6,646.79, 9,173.19 and 3,663.06

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Solution

The fourth proportional to 6,646.79, 9,173.19 and 3,663.06 is: 5,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.79 : 9,173.19 = 3,663.06 : x
  2. Step 2: Convert to fraction form
    6,646.79/9,173.19 = 3,663.06/x
  3. Step 3: Cross multiply
    6,646.79x = 9,173.19 × 3,663.06
  4. Step 4: Simplify right side
    6,646.79x = 33,601,945.36
  5. Step 5: Solve for x
    x = 33,601,945.36/6,646.79
  6. Step 6: Final answer
    x = 5,055.37

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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.