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Finding the Fourth Proportional to 6,009.36, 8,294.39 and 3,653.47

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Solution

The fourth proportional to 6,009.36, 8,294.39 and 3,653.47 is: 5,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.36 : 8,294.39 = 3,653.47 : x
  2. Step 2: Convert to fraction form
    6,009.36/8,294.39 = 3,653.47/x
  3. Step 3: Cross multiply
    6,009.36x = 8,294.39 × 3,653.47
  4. Step 4: Simplify right side
    6,009.36x = 30,303,305.03
  5. Step 5: Solve for x
    x = 30,303,305.03/6,009.36
  6. Step 6: Final answer
    x = 5,042.68

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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.