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Finding the Fourth Proportional to 6,009.92, 8,296.80 and 4,143.68

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Solution

The fourth proportional to 6,009.92, 8,296.80 and 4,143.68 is: 5,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.92 : 8,296.80 = 4,143.68 : x
  2. Step 2: Convert to fraction form
    6,009.92/8,296.80 = 4,143.68/x
  3. Step 3: Cross multiply
    6,009.92x = 8,296.80 × 4,143.68
  4. Step 4: Simplify right side
    6,009.92x = 34,379,284.22
  5. Step 5: Solve for x
    x = 34,379,284.22/6,009.92
  6. Step 6: Final answer
    x = 5,720.42

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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.