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Finding the Fourth Proportional to 6,647.63, 9,173.61 and 3,663.40

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Solution

The fourth proportional to 6,647.63, 9,173.61 and 3,663.40 is: 5,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.63 : 9,173.61 = 3,663.40 : x
  2. Step 2: Convert to fraction form
    6,647.63/9,173.61 = 3,663.40/x
  3. Step 3: Cross multiply
    6,647.63x = 9,173.61 × 3,663.40
  4. Step 4: Simplify right side
    6,647.63x = 33,606,567.47
  5. Step 5: Solve for x
    x = 33,606,567.47/6,647.63
  6. Step 6: Final answer
    x = 5,055.42

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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.