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Finding the Fourth Proportional to 6,005.09, 8,284.65 and 4,012.49

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Solution

The fourth proportional to 6,005.09, 8,284.65 and 4,012.49 is: 5,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.09 : 8,284.65 = 4,012.49 : x
  2. Step 2: Convert to fraction form
    6,005.09/8,284.65 = 4,012.49/x
  3. Step 3: Cross multiply
    6,005.09x = 8,284.65 × 4,012.49
  4. Step 4: Simplify right side
    6,005.09x = 33,242,080.94
  5. Step 5: Solve for x
    x = 33,242,080.94/6,005.09
  6. Step 6: Final answer
    x = 5,535.65

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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.