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Finding the Fourth Proportional to 6,106.09, 8,424.01 and 3,984.11

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Solution

The fourth proportional to 6,106.09, 8,424.01 and 3,984.11 is: 5,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.09 : 8,424.01 = 3,984.11 : x
  2. Step 2: Convert to fraction form
    6,106.09/8,424.01 = 3,984.11/x
  3. Step 3: Cross multiply
    6,106.09x = 8,424.01 × 3,984.11
  4. Step 4: Simplify right side
    6,106.09x = 33,562,182.48
  5. Step 5: Solve for x
    x = 33,562,182.48/6,106.09
  6. Step 6: Final answer
    x = 5,496.51

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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.