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Finding the Fourth Proportional to 6,137.81, 9,206.72 and 4,685.21

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Solution

The fourth proportional to 6,137.81, 9,206.72 and 4,685.21 is: 7,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.81 : 9,206.72 = 4,685.21 : x
  2. Step 2: Convert to fraction form
    6,137.81/9,206.72 = 4,685.21/x
  3. Step 3: Cross multiply
    6,137.81x = 9,206.72 × 4,685.21
  4. Step 4: Simplify right side
    6,137.81x = 43,135,416.61
  5. Step 5: Solve for x
    x = 43,135,416.61/6,137.81
  6. Step 6: Final answer
    x = 7,027.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.